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Finding the Fourth Proportional to 6,721.81, 9,275.58 and 3,737.46

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Solution

The fourth proportional to 6,721.81, 9,275.58 and 3,737.46 is: 5,157.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,721.81 : 9,275.58 = 3,737.46 : x
  2. Step 2: Convert to fraction form
    6,721.81/9,275.58 = 3,737.46/x
  3. Step 3: Cross multiply
    6,721.81x = 9,275.58 × 3,737.46
  4. Step 4: Simplify right side
    6,721.81x = 34,667,109.23
  5. Step 5: Solve for x
    x = 34,667,109.23/6,721.81
  6. Step 6: Final answer
    x = 5,157.41

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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.