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Finding the Fourth Proportional to 9,892.48, 13,652.92 and 5,642.57

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Solution

The fourth proportional to 9,892.48, 13,652.92 and 5,642.57 is: 7,787.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,892.48 : 13,652.92 = 5,642.57 : x
  2. Step 2: Convert to fraction form
    9,892.48/13,652.92 = 5,642.57/x
  3. Step 3: Cross multiply
    9,892.48x = 13,652.92 × 5,642.57
  4. Step 4: Simplify right side
    9,892.48x = 77,037,521.19
  5. Step 5: Solve for x
    x = 77,037,521.19/9,892.48
  6. Step 6: Final answer
    x = 7,787.48

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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.