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Finding the Fourth Proportional to 9,638.33, 14,460.26 and 4,014.90

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Solution

The fourth proportional to 9,638.33, 14,460.26 and 4,014.90 is: 6,023.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,638.33 : 14,460.26 = 4,014.90 : x
  2. Step 2: Convert to fraction form
    9,638.33/14,460.26 = 4,014.90/x
  3. Step 3: Cross multiply
    9,638.33x = 14,460.26 × 4,014.90
  4. Step 4: Simplify right side
    9,638.33x = 58,056,477.80
  5. Step 5: Solve for x
    x = 58,056,477.80/9,638.33
  6. Step 6: Final answer
    x = 6,023.50

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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.