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Finding the Fourth Proportional to 6,972.66, 9,619.02 and 4,139.82

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Solution

The fourth proportional to 6,972.66, 9,619.02 and 4,139.82 is: 5,711.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,972.66 : 9,619.02 = 4,139.82 : x
  2. Step 2: Convert to fraction form
    6,972.66/9,619.02 = 4,139.82/x
  3. Step 3: Cross multiply
    6,972.66x = 9,619.02 × 4,139.82
  4. Step 4: Simplify right side
    6,972.66x = 39,821,011.38
  5. Step 5: Solve for x
    x = 39,821,011.38/6,972.66
  6. Step 6: Final answer
    x = 5,711.02

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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.