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Finding the Fourth Proportional to 6,358.71, 9,540.35 and 3,864.98

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Solution

The fourth proportional to 6,358.71, 9,540.35 and 3,864.98 is: 5,798.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,358.71 : 9,540.35 = 3,864.98 : x
  2. Step 2: Convert to fraction form
    6,358.71/9,540.35 = 3,864.98/x
  3. Step 3: Cross multiply
    6,358.71x = 9,540.35 × 3,864.98
  4. Step 4: Simplify right side
    6,358.71x = 36,873,194.92
  5. Step 5: Solve for x
    x = 36,873,194.92/6,358.71
  6. Step 6: Final answer
    x = 5,798.85

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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.