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Finding the Fourth Proportional to 6,710.92, 9,261.37 and 3,726.76

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Solution

The fourth proportional to 6,710.92, 9,261.37 and 3,726.76 is: 5,143.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,710.92 : 9,261.37 = 3,726.76 : x
  2. Step 2: Convert to fraction form
    6,710.92/9,261.37 = 3,726.76/x
  3. Step 3: Cross multiply
    6,710.92x = 9,261.37 × 3,726.76
  4. Step 4: Simplify right side
    6,710.92x = 34,514,935.73
  5. Step 5: Solve for x
    x = 34,514,935.73/6,710.92
  6. Step 6: Final answer
    x = 5,143.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.