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Finding the Fourth Proportional to 6,737.69, 9,301.40 and 5,221.87

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Solution

The fourth proportional to 6,737.69, 9,301.40 and 5,221.87 is: 7,208.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,737.69 : 9,301.40 = 5,221.87 : x
  2. Step 2: Convert to fraction form
    6,737.69/9,301.40 = 5,221.87/x
  3. Step 3: Cross multiply
    6,737.69x = 9,301.40 × 5,221.87
  4. Step 4: Simplify right side
    6,737.69x = 48,570,724.16
  5. Step 5: Solve for x
    x = 48,570,724.16/6,737.69
  6. Step 6: Final answer
    x = 7,208.81

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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.