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Finding the Fourth Proportional to 9,137.71, 13,705.96 and 3,592.00

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Solution

The fourth proportional to 9,137.71, 13,705.96 and 3,592.00 is: 5,387.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,137.71 : 13,705.96 = 3,592.00 : x
  2. Step 2: Convert to fraction form
    9,137.71/13,705.96 = 3,592.00/x
  3. Step 3: Cross multiply
    9,137.71x = 13,705.96 × 3,592.00
  4. Step 4: Simplify right side
    9,137.71x = 49,231,746.11
  5. Step 5: Solve for x
    x = 49,231,746.11/9,137.71
  6. Step 6: Final answer
    x = 5,387.75

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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.