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Finding the Fourth Proportional to 6,287.69, 9,432.92 and 2,392.13

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Solution

The fourth proportional to 6,287.69, 9,432.92 and 2,392.13 is: 3,588.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,287.69 : 9,432.92 = 2,392.13 : x
  2. Step 2: Convert to fraction form
    6,287.69/9,432.92 = 2,392.13/x
  3. Step 3: Cross multiply
    6,287.69x = 9,432.92 × 2,392.13
  4. Step 4: Simplify right side
    6,287.69x = 22,564,729.74
  5. Step 5: Solve for x
    x = 22,564,729.74/6,287.69
  6. Step 6: Final answer
    x = 3,588.72

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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.