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Finding the Fourth Proportional to 9,053.70, 12,462 and 6,691.74

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Solution

The fourth proportional to 9,053.70, 12,462 and 6,691.74 is: 9,210.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,053.70 : 12,462 = 6,691.74 : x
  2. Step 2: Convert to fraction form
    9,053.70/12,462 = 6,691.74/x
  3. Step 3: Cross multiply
    9,053.70x = 12,462 × 6,691.74
  4. Step 4: Simplify right side
    9,053.70x = 83,392,463.88
  5. Step 5: Solve for x
    x = 83,392,463.88/9,053.70
  6. Step 6: Final answer
    x = 9,210.87

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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.