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Finding the Fourth Proportional to 9,032.68, 12,460.90 and 5,494.76

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Solution

The fourth proportional to 9,032.68, 12,460.90 and 5,494.76 is: 7,580.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,032.68 : 12,460.90 = 5,494.76 : x
  2. Step 2: Convert to fraction form
    9,032.68/12,460.90 = 5,494.76/x
  3. Step 3: Cross multiply
    9,032.68x = 12,460.90 × 5,494.76
  4. Step 4: Simplify right side
    9,032.68x = 68,469,654.88
  5. Step 5: Solve for x
    x = 68,469,654.88/9,032.68
  6. Step 6: Final answer
    x = 7,580.21

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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.