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Finding the Fourth Proportional to 9,432.08, 13,016.40 and 5,706.08

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Solution

The fourth proportional to 9,432.08, 13,016.40 and 5,706.08 is: 7,874.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,432.08 : 13,016.40 = 5,706.08 : x
  2. Step 2: Convert to fraction form
    9,432.08/13,016.40 = 5,706.08/x
  3. Step 3: Cross multiply
    9,432.08x = 13,016.40 × 5,706.08
  4. Step 4: Simplify right side
    9,432.08x = 74,272,619.71
  5. Step 5: Solve for x
    x = 74,272,619.71/9,432.08
  6. Step 6: Final answer
    x = 7,874.47

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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.