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Finding the Fourth Proportional to 9,126.14, 12,591.14 and 7,205.87

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Solution

The fourth proportional to 9,126.14, 12,591.14 and 7,205.87 is: 9,941.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,126.14 : 12,591.14 = 7,205.87 : x
  2. Step 2: Convert to fraction form
    9,126.14/12,591.14 = 7,205.87/x
  3. Step 3: Cross multiply
    9,126.14x = 12,591.14 × 7,205.87
  4. Step 4: Simplify right side
    9,126.14x = 90,730,117.99
  5. Step 5: Solve for x
    x = 90,730,117.99/9,126.14
  6. Step 6: Final answer
    x = 9,941.78

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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.