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Finding the Fourth Proportional to 6,710.72, 9,260.67 and 3,726.49

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Solution

The fourth proportional to 6,710.72, 9,260.67 and 3,726.49 is: 5,142.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,710.72 : 9,260.67 = 3,726.49 : x
  2. Step 2: Convert to fraction form
    6,710.72/9,260.67 = 3,726.49/x
  3. Step 3: Cross multiply
    6,710.72x = 9,260.67 × 3,726.49
  4. Step 4: Simplify right side
    6,710.72x = 34,509,794.15
  5. Step 5: Solve for x
    x = 34,509,794.15/6,710.72
  6. Step 6: Final answer
    x = 5,142.49

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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.