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Finding the Fourth Proportional to 6,726.46, 9,282.74 and 3,701.70

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Solution

The fourth proportional to 6,726.46, 9,282.74 and 3,701.70 is: 5,108.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,726.46 : 9,282.74 = 3,701.70 : x
  2. Step 2: Convert to fraction form
    6,726.46/9,282.74 = 3,701.70/x
  3. Step 3: Cross multiply
    6,726.46x = 9,282.74 × 3,701.70
  4. Step 4: Simplify right side
    6,726.46x = 34,361,918.66
  5. Step 5: Solve for x
    x = 34,361,918.66/6,726.46
  6. Step 6: Final answer
    x = 5,108.47

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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.