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Finding the Fourth Proportional to 6,105.92, 8,429.95 and 4,686.89

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Solution

The fourth proportional to 6,105.92, 8,429.95 and 4,686.89 is: 6,470.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,105.92 : 8,429.95 = 4,686.89 : x
  2. Step 2: Convert to fraction form
    6,105.92/8,429.95 = 4,686.89/x
  3. Step 3: Cross multiply
    6,105.92x = 8,429.95 × 4,686.89
  4. Step 4: Simplify right side
    6,105.92x = 39,510,248.36
  5. Step 5: Solve for x
    x = 39,510,248.36/6,105.92
  6. Step 6: Final answer
    x = 6,470.81

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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.