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Finding the Fourth Proportional to 6,167.40, 9,251.10 and 5,693.55

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Solution

The fourth proportional to 6,167.40, 9,251.10 and 5,693.55 is: 8,540.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,167.40 : 9,251.10 = 5,693.55 : x
  2. Step 2: Convert to fraction form
    6,167.40/9,251.10 = 5,693.55/x
  3. Step 3: Cross multiply
    6,167.40x = 9,251.10 × 5,693.55
  4. Step 4: Simplify right side
    6,167.40x = 52,671,600.41
  5. Step 5: Solve for x
    x = 52,671,600.41/6,167.40
  6. Step 6: Final answer
    x = 8,540.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.