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Finding the Fourth Proportional to 9,127.68, 13,691.52 and 7,100.16

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Solution

The fourth proportional to 9,127.68, 13,691.52 and 7,100.16 is: 10,650.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,127.68 : 13,691.52 = 7,100.16 : x
  2. Step 2: Convert to fraction form
    9,127.68/13,691.52 = 7,100.16/x
  3. Step 3: Cross multiply
    9,127.68x = 13,691.52 × 7,100.16
  4. Step 4: Simplify right side
    9,127.68x = 97,211,982.64
  5. Step 5: Solve for x
    x = 97,211,982.64/9,127.68
  6. Step 6: Final answer
    x = 10,650.24

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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.