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Finding the Fourth Proportional to 8,666.28, 12,989.34 and 3,473.64

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Solution

The fourth proportional to 8,666.28, 12,989.34 and 3,473.64 is: 5,206.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,666.28 : 12,989.34 = 3,473.64 : x
  2. Step 2: Convert to fraction form
    8,666.28/12,989.34 = 3,473.64/x
  3. Step 3: Cross multiply
    8,666.28x = 12,989.34 × 3,473.64
  4. Step 4: Simplify right side
    8,666.28x = 45,120,291.00
  5. Step 5: Solve for x
    x = 45,120,291.00/8,666.28
  6. Step 6: Final answer
    x = 5,206.42

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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.