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Finding the Fourth Proportional to 9,125.29, 13,677 and 5,419.54

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Solution

The fourth proportional to 9,125.29, 13,677 and 5,419.54 is: 8,122.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,125.29 : 13,677 = 5,419.54 : x
  2. Step 2: Convert to fraction form
    9,125.29/13,677 = 5,419.54/x
  3. Step 3: Cross multiply
    9,125.29x = 13,677 × 5,419.54
  4. Step 4: Simplify right side
    9,125.29x = 74,123,048.58
  5. Step 5: Solve for x
    x = 74,123,048.58/9,125.29
  6. Step 6: Final answer
    x = 8,122.82

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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.