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Finding the Fourth Proportional to 9,972.77, 13,762.56 and 5,724.17

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Solution

The fourth proportional to 9,972.77, 13,762.56 and 5,724.17 is: 7,899.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,972.77 : 13,762.56 = 5,724.17 : x
  2. Step 2: Convert to fraction form
    9,972.77/13,762.56 = 5,724.17/x
  3. Step 3: Cross multiply
    9,972.77x = 13,762.56 × 5,724.17
  4. Step 4: Simplify right side
    9,972.77x = 78,779,233.08
  5. Step 5: Solve for x
    x = 78,779,233.08/9,972.77
  6. Step 6: Final answer
    x = 7,899.43

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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.