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Finding the Fourth Proportional to 9,129.42, 12,587.09 and 7,449.12

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Solution

The fourth proportional to 9,129.42, 12,587.09 and 7,449.12 is: 10,270.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,129.42 : 12,587.09 = 7,449.12 : x
  2. Step 2: Convert to fraction form
    9,129.42/12,587.09 = 7,449.12/x
  3. Step 3: Cross multiply
    9,129.42x = 12,587.09 × 7,449.12
  4. Step 4: Simplify right side
    9,129.42x = 93,762,706.62
  5. Step 5: Solve for x
    x = 93,762,706.62/9,129.42
  6. Step 6: Final answer
    x = 10,270.39

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Why These Related Problems?

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