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Finding the Fourth Proportional to 6,545.04, 9,032.13 and 3,857.82

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Solution

The fourth proportional to 6,545.04, 9,032.13 and 3,857.82 is: 5,323.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,545.04 : 9,032.13 = 3,857.82 : x
  2. Step 2: Convert to fraction form
    6,545.04/9,032.13 = 3,857.82/x
  3. Step 3: Cross multiply
    6,545.04x = 9,032.13 × 3,857.82
  4. Step 4: Simplify right side
    6,545.04x = 34,844,331.76
  5. Step 5: Solve for x
    x = 34,844,331.76/6,545.04
  6. Step 6: Final answer
    x = 5,323.78

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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.