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Finding the Fourth Proportional to 6,721.36, 9,275.78 and 3,737.50

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Solution

The fourth proportional to 6,721.36, 9,275.78 and 3,737.50 is: 5,157.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,721.36 : 9,275.78 = 3,737.50 : x
  2. Step 2: Convert to fraction form
    6,721.36/9,275.78 = 3,737.50/x
  3. Step 3: Cross multiply
    6,721.36x = 9,275.78 × 3,737.50
  4. Step 4: Simplify right side
    6,721.36x = 34,668,213.90
  5. Step 5: Solve for x
    x = 34,668,213.90/6,721.36
  6. Step 6: Final answer
    x = 5,157.92

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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.