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Finding the Fourth Proportional to 4,467.34, 6,704.12 and 4,432.76

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Solution

The fourth proportional to 4,467.34, 6,704.12 and 4,432.76 is: 6,652.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,467.34 : 6,704.12 = 4,432.76 : x
  2. Step 2: Convert to fraction form
    4,467.34/6,704.12 = 4,432.76/x
  3. Step 3: Cross multiply
    4,467.34x = 6,704.12 × 4,432.76
  4. Step 4: Simplify right side
    4,467.34x = 29,717,732.74
  5. Step 5: Solve for x
    x = 29,717,732.74/4,467.34
  6. Step 6: Final answer
    x = 6,652.23

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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.