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Finding the Fourth Proportional to 9,032.76, 12,463.20 and 5,496.12

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Solution

The fourth proportional to 9,032.76, 12,463.20 and 5,496.12 is: 7,583.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,032.76 : 12,463.20 = 5,496.12 : x
  2. Step 2: Convert to fraction form
    9,032.76/12,463.20 = 5,496.12/x
  3. Step 3: Cross multiply
    9,032.76x = 12,463.20 × 5,496.12
  4. Step 4: Simplify right side
    9,032.76x = 68,499,242.78
  5. Step 5: Solve for x
    x = 68,499,242.78/9,032.76
  6. Step 6: Final answer
    x = 7,583.42

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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.