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Finding the Fourth Proportional to 6,545.67, 9,033.05 and 3,561.48

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Solution

The fourth proportional to 6,545.67, 9,033.05 and 3,561.48 is: 4,914.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,545.67 : 9,033.05 = 3,561.48 : x
  2. Step 2: Convert to fraction form
    6,545.67/9,033.05 = 3,561.48/x
  3. Step 3: Cross multiply
    6,545.67x = 9,033.05 × 3,561.48
  4. Step 4: Simplify right side
    6,545.67x = 32,171,026.91
  5. Step 5: Solve for x
    x = 32,171,026.91/6,545.67
  6. Step 6: Final answer
    x = 4,914.86

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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.