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Finding the Fourth Proportional to 6,134.92, 8,465.67 and 3,713.19

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Solution

The fourth proportional to 6,134.92, 8,465.67 and 3,713.19 is: 5,123.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,134.92 : 8,465.67 = 3,713.19 : x
  2. Step 2: Convert to fraction form
    6,134.92/8,465.67 = 3,713.19/x
  3. Step 3: Cross multiply
    6,134.92x = 8,465.67 × 3,713.19
  4. Step 4: Simplify right side
    6,134.92x = 31,434,641.19
  5. Step 5: Solve for x
    x = 31,434,641.19/6,134.92
  6. Step 6: Final answer
    x = 5,123.89

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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.