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Finding the Fourth Proportional to 8,635.80, 12,953.91 and 6,458.36

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Solution

The fourth proportional to 8,635.80, 12,953.91 and 6,458.36 is: 9,687.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,635.80 : 12,953.91 = 6,458.36 : x
  2. Step 2: Convert to fraction form
    8,635.80/12,953.91 = 6,458.36/x
  3. Step 3: Cross multiply
    8,635.80x = 12,953.91 × 6,458.36
  4. Step 4: Simplify right side
    8,635.80x = 83,660,949.42
  5. Step 5: Solve for x
    x = 83,660,949.42/8,635.80
  6. Step 6: Final answer
    x = 9,687.69

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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.