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Finding the Fourth Proportional to 9,502.53, 14,256.68 and 6,734.55

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Solution

The fourth proportional to 9,502.53, 14,256.68 and 6,734.55 is: 10,103.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,502.53 : 14,256.68 = 6,734.55 : x
  2. Step 2: Convert to fraction form
    9,502.53/14,256.68 = 6,734.55/x
  3. Step 3: Cross multiply
    9,502.53x = 14,256.68 × 6,734.55
  4. Step 4: Simplify right side
    9,502.53x = 96,012,290.62
  5. Step 5: Solve for x
    x = 96,012,290.62/9,502.53
  6. Step 6: Final answer
    x = 10,103.87

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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.