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Finding the Fourth Proportional to 9,774,828.60, 14,662,242.90 and 9,137,099.40

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Solution

The fourth proportional to 9,774,828.60, 14,662,242.90 and 9,137,099.40 is: 13,705,649.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,774,828.60 : 14,662,242.90 = 9,137,099.40 : x
  2. Step 2: Convert to fraction form
    9,774,828.60/14,662,242.90 = 9,137,099.40/x
  3. Step 3: Cross multiply
    9,774,828.60x = 14,662,242.90 × 9,137,099.40
  4. Step 4: Simplify right side
    9,774,828.60x = 133,970,370,804,244.27
  5. Step 5: Solve for x
    x = 133,970,370,804,244.27/9,774,828.60
  6. Step 6: Final answer
    x = 13,705,649.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.