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Finding the Fourth Proportional to 9,237.92, 13,842.97 and 4,301.78

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Solution

The fourth proportional to 9,237.92, 13,842.97 and 4,301.78 is: 6,446.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,237.92 : 13,842.97 = 4,301.78 : x
  2. Step 2: Convert to fraction form
    9,237.92/13,842.97 = 4,301.78/x
  3. Step 3: Cross multiply
    9,237.92x = 13,842.97 × 4,301.78
  4. Step 4: Simplify right side
    9,237.92x = 59,549,331.52
  5. Step 5: Solve for x
    x = 59,549,331.52/9,237.92
  6. Step 6: Final answer
    x = 6,446.19

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