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Finding the Fourth Proportional to 8,646.62, 12,969.96 and 5,866.42

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Solution

The fourth proportional to 8,646.62, 12,969.96 and 5,866.42 is: 8,799.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,646.62 : 12,969.96 = 5,866.42 : x
  2. Step 2: Convert to fraction form
    8,646.62/12,969.96 = 5,866.42/x
  3. Step 3: Cross multiply
    8,646.62x = 12,969.96 × 5,866.42
  4. Step 4: Simplify right side
    8,646.62x = 76,087,232.74
  5. Step 5: Solve for x
    x = 76,087,232.74/8,646.62
  6. Step 6: Final answer
    x = 8,799.65

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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.