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Finding the Fourth Proportional to 9,672.56, 14,508.98 and 2,747.08

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Solution

The fourth proportional to 9,672.56, 14,508.98 and 2,747.08 is: 4,120.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,672.56 : 14,508.98 = 2,747.08 : x
  2. Step 2: Convert to fraction form
    9,672.56/14,508.98 = 2,747.08/x
  3. Step 3: Cross multiply
    9,672.56x = 14,508.98 × 2,747.08
  4. Step 4: Simplify right side
    9,672.56x = 39,857,328.78
  5. Step 5: Solve for x
    x = 39,857,328.78/9,672.56
  6. Step 6: Final answer
    x = 4,120.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.