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Finding the Fourth Proportional to 9,864.55, 13,609.92 and 7,032.43

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Solution

The fourth proportional to 9,864.55, 13,609.92 and 7,032.43 is: 9,702.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,864.55 : 13,609.92 = 7,032.43 : x
  2. Step 2: Convert to fraction form
    9,864.55/13,609.92 = 7,032.43/x
  3. Step 3: Cross multiply
    9,864.55x = 13,609.92 × 7,032.43
  4. Step 4: Simplify right side
    9,864.55x = 95,710,809.71
  5. Step 5: Solve for x
    x = 95,710,809.71/9,864.55
  6. Step 6: Final answer
    x = 9,702.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.