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Finding the Fourth Proportional to 9,724.88, 14,592.16 and 3,892.88

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Solution

The fourth proportional to 9,724.88, 14,592.16 and 3,892.88 is: 5,841.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,724.88 : 14,592.16 = 3,892.88 : x
  2. Step 2: Convert to fraction form
    9,724.88/14,592.16 = 3,892.88/x
  3. Step 3: Cross multiply
    9,724.88x = 14,592.16 × 3,892.88
  4. Step 4: Simplify right side
    9,724.88x = 56,805,527.82
  5. Step 5: Solve for x
    x = 56,805,527.82/9,724.88
  6. Step 6: Final answer
    x = 5,841.26

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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.