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Finding the Fourth Proportional to 6,545.80, 9,036.12 and 3,894.13

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Solution

The fourth proportional to 6,545.80, 9,036.12 and 3,894.13 is: 5,375.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,545.80 : 9,036.12 = 3,894.13 : x
  2. Step 2: Convert to fraction form
    6,545.80/9,036.12 = 3,894.13/x
  3. Step 3: Cross multiply
    6,545.80x = 9,036.12 × 3,894.13
  4. Step 4: Simplify right side
    6,545.80x = 35,187,825.98
  5. Step 5: Solve for x
    x = 35,187,825.98/6,545.80
  6. Step 6: Final answer
    x = 5,375.63

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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.