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Finding the Fourth Proportional to 9,832.92, 13,569.47 and 5,356.71

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Solution

The fourth proportional to 9,832.92, 13,569.47 and 5,356.71 is: 7,392.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,832.92 : 13,569.47 = 5,356.71 : x
  2. Step 2: Convert to fraction form
    9,832.92/13,569.47 = 5,356.71/x
  3. Step 3: Cross multiply
    9,832.92x = 13,569.47 × 5,356.71
  4. Step 4: Simplify right side
    9,832.92x = 72,687,700.92
  5. Step 5: Solve for x
    x = 72,687,700.92/9,832.92
  6. Step 6: Final answer
    x = 7,392.28

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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.