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Finding the Fourth Proportional to 9,053.72, 12,462 and 6,691.76

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Solution

The fourth proportional to 9,053.72, 12,462 and 6,691.76 is: 9,210.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,053.72 : 12,462 = 6,691.76 : x
  2. Step 2: Convert to fraction form
    9,053.72/12,462 = 6,691.76/x
  3. Step 3: Cross multiply
    9,053.72x = 12,462 × 6,691.76
  4. Step 4: Simplify right side
    9,053.72x = 83,392,713.12
  5. Step 5: Solve for x
    x = 83,392,713.12/9,053.72
  6. Step 6: Final answer
    x = 9,210.88

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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.