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Finding the Fourth Proportional to 6,705.46, 9,253.61 and 3,721.58

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Solution

The fourth proportional to 6,705.46, 9,253.61 and 3,721.58 is: 5,135.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,705.46 : 9,253.61 = 3,721.58 : x
  2. Step 2: Convert to fraction form
    6,705.46/9,253.61 = 3,721.58/x
  3. Step 3: Cross multiply
    6,705.46x = 9,253.61 × 3,721.58
  4. Step 4: Simplify right side
    6,705.46x = 34,438,033.68
  5. Step 5: Solve for x
    x = 34,438,033.68/6,705.46
  6. Step 6: Final answer
    x = 5,135.82

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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.