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Finding the Fourth Proportional to 9,700.97, 14,552.87 and 3,127.41

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Solution

The fourth proportional to 9,700.97, 14,552.87 and 3,127.41 is: 4,691.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,700.97 : 14,552.87 = 3,127.41 : x
  2. Step 2: Convert to fraction form
    9,700.97/14,552.87 = 3,127.41/x
  3. Step 3: Cross multiply
    9,700.97x = 14,552.87 × 3,127.41
  4. Step 4: Simplify right side
    9,700.97x = 45,512,775.53
  5. Step 5: Solve for x
    x = 45,512,775.53/9,700.97
  6. Step 6: Final answer
    x = 4,691.57

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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.