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Finding the Fourth Proportional to 6,265.27, 8,646.11 and 3,470.77

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Solution

The fourth proportional to 6,265.27, 8,646.11 and 3,470.77 is: 4,789.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,265.27 : 8,646.11 = 3,470.77 : x
  2. Step 2: Convert to fraction form
    6,265.27/8,646.11 = 3,470.77/x
  3. Step 3: Cross multiply
    6,265.27x = 8,646.11 × 3,470.77
  4. Step 4: Simplify right side
    6,265.27x = 30,008,659.20
  5. Step 5: Solve for x
    x = 30,008,659.20/6,265.27
  6. Step 6: Final answer
    x = 4,789.68

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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.