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Finding the Fourth Proportional to 8,677.64, 13,020.78 and 6,388.04

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Solution

The fourth proportional to 8,677.64, 13,020.78 and 6,388.04 is: 9,585.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,677.64 : 13,020.78 = 6,388.04 : x
  2. Step 2: Convert to fraction form
    8,677.64/13,020.78 = 6,388.04/x
  3. Step 3: Cross multiply
    8,677.64x = 13,020.78 × 6,388.04
  4. Step 4: Simplify right side
    8,677.64x = 83,177,263.47
  5. Step 5: Solve for x
    x = 83,177,263.47/8,677.64
  6. Step 6: Final answer
    x = 9,585.24

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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.