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Finding the Fourth Proportional to 6,705.50, 9,253.59 and 3,721.78

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Solution

The fourth proportional to 6,705.50, 9,253.59 and 3,721.78 is: 5,136.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,705.50 : 9,253.59 = 3,721.78 : x
  2. Step 2: Convert to fraction form
    6,705.50/9,253.59 = 3,721.78/x
  3. Step 3: Cross multiply
    6,705.50x = 9,253.59 × 3,721.78
  4. Step 4: Simplify right side
    6,705.50x = 34,439,826.19
  5. Step 5: Solve for x
    x = 34,439,826.19/6,705.50
  6. Step 6: Final answer
    x = 5,136.06

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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.