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Finding the Fourth Proportional to 6,721.98, 9,276.92 and 3,738.40

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Solution

The fourth proportional to 6,721.98, 9,276.92 and 3,738.40 is: 5,159.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,721.98 : 9,276.92 = 3,738.40 : x
  2. Step 2: Convert to fraction form
    6,721.98/9,276.92 = 3,738.40/x
  3. Step 3: Cross multiply
    6,721.98x = 9,276.92 × 3,738.40
  4. Step 4: Simplify right side
    6,721.98x = 34,680,837.73
  5. Step 5: Solve for x
    x = 34,680,837.73/6,721.98
  6. Step 6: Final answer
    x = 5,159.32

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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.