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Finding the Fourth Proportional to 6,705.69, 9,253.39 and 3,721.42

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Solution

The fourth proportional to 6,705.69, 9,253.39 and 3,721.42 is: 5,135.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,705.69 : 9,253.39 = 3,721.42 : x
  2. Step 2: Convert to fraction form
    6,705.69/9,253.39 = 3,721.42/x
  3. Step 3: Cross multiply
    6,705.69x = 9,253.39 × 3,721.42
  4. Step 4: Simplify right side
    6,705.69x = 34,435,750.61
  5. Step 5: Solve for x
    x = 34,435,750.61/6,705.69
  6. Step 6: Final answer
    x = 5,135.30

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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.