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Finding the Fourth Proportional to 9,031.72, 12,463.80 and 5,257.12

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Solution

The fourth proportional to 9,031.72, 12,463.80 and 5,257.12 is: 7,254.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,031.72 : 12,463.80 = 5,257.12 : x
  2. Step 2: Convert to fraction form
    9,031.72/12,463.80 = 5,257.12/x
  3. Step 3: Cross multiply
    9,031.72x = 12,463.80 × 5,257.12
  4. Step 4: Simplify right side
    9,031.72x = 65,523,692.26
  5. Step 5: Solve for x
    x = 65,523,692.26/9,031.72
  6. Step 6: Final answer
    x = 7,254.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.