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Finding the Fourth Proportional to 6,545.66, 9,032.19 and 4,425.80

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Solution

The fourth proportional to 6,545.66, 9,032.19 and 4,425.80 is: 6,107.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,545.66 : 9,032.19 = 4,425.80 : x
  2. Step 2: Convert to fraction form
    6,545.66/9,032.19 = 4,425.80/x
  3. Step 3: Cross multiply
    6,545.66x = 9,032.19 × 4,425.80
  4. Step 4: Simplify right side
    6,545.66x = 39,974,666.50
  5. Step 5: Solve for x
    x = 39,974,666.50/6,545.66
  6. Step 6: Final answer
    x = 6,107.05

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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.