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Finding the Fourth Proportional to 6,705.52, 9,253.27 and 3,721.28

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Solution

The fourth proportional to 6,705.52, 9,253.27 and 3,721.28 is: 5,135.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,705.52 : 9,253.27 = 3,721.28 : x
  2. Step 2: Convert to fraction form
    6,705.52/9,253.27 = 3,721.28/x
  3. Step 3: Cross multiply
    6,705.52x = 9,253.27 × 3,721.28
  4. Step 4: Simplify right side
    6,705.52x = 34,433,966.97
  5. Step 5: Solve for x
    x = 34,433,966.97/6,705.52
  6. Step 6: Final answer
    x = 5,135.17

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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.