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Finding the Fourth Proportional to 9,032.16, 12,463.08 and 5,053.20

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Solution

The fourth proportional to 9,032.16, 12,463.08 and 5,053.20 is: 6,972.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,032.16 : 12,463.08 = 5,053.20 : x
  2. Step 2: Convert to fraction form
    9,032.16/12,463.08 = 5,053.20/x
  3. Step 3: Cross multiply
    9,032.16x = 12,463.08 × 5,053.20
  4. Step 4: Simplify right side
    9,032.16x = 62,978,435.86
  5. Step 5: Solve for x
    x = 62,978,435.86/9,032.16
  6. Step 6: Final answer
    x = 6,972.69

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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.