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Finding the Fourth Proportional to 9,167.50, 12,654.03 and 5,440.78

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Solution

The fourth proportional to 9,167.50, 12,654.03 and 5,440.78 is: 7,509.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,167.50 : 12,654.03 = 5,440.78 : x
  2. Step 2: Convert to fraction form
    9,167.50/12,654.03 = 5,440.78/x
  3. Step 3: Cross multiply
    9,167.50x = 12,654.03 × 5,440.78
  4. Step 4: Simplify right side
    9,167.50x = 68,847,793.34
  5. Step 5: Solve for x
    x = 68,847,793.34/9,167.50
  6. Step 6: Final answer
    x = 7,509.99

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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.