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Finding the Fourth Proportional to 6,721.21, 9,275.34 and 3,737.17

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Solution

The fourth proportional to 6,721.21, 9,275.34 and 3,737.17 is: 5,157.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,721.21 : 9,275.34 = 3,737.17 : x
  2. Step 2: Convert to fraction form
    6,721.21/9,275.34 = 3,737.17/x
  3. Step 3: Cross multiply
    6,721.21x = 9,275.34 × 3,737.17
  4. Step 4: Simplify right side
    6,721.21x = 34,663,522.39
  5. Step 5: Solve for x
    x = 34,663,522.39/6,721.21
  6. Step 6: Final answer
    x = 5,157.33

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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.