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Finding the Fourth Proportional to 8,709.32, 13,073.21 and 5,424.74

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Solution

The fourth proportional to 8,709.32, 13,073.21 and 5,424.74 is: 8,142.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,709.32 : 13,073.21 = 5,424.74 : x
  2. Step 2: Convert to fraction form
    8,709.32/13,073.21 = 5,424.74/x
  3. Step 3: Cross multiply
    8,709.32x = 13,073.21 × 5,424.74
  4. Step 4: Simplify right side
    8,709.32x = 70,918,765.22
  5. Step 5: Solve for x
    x = 70,918,765.22/8,709.32
  6. Step 6: Final answer
    x = 8,142.86

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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.