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Finding the Fourth Proportional to 6,545.72, 9,820.41 and 3,626.08

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Solution

The fourth proportional to 6,545.72, 9,820.41 and 3,626.08 is: 5,440.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,545.72 : 9,820.41 = 3,626.08 : x
  2. Step 2: Convert to fraction form
    6,545.72/9,820.41 = 3,626.08/x
  3. Step 3: Cross multiply
    6,545.72x = 9,820.41 × 3,626.08
  4. Step 4: Simplify right side
    6,545.72x = 35,609,554.14
  5. Step 5: Solve for x
    x = 35,609,554.14/6,545.72
  6. Step 6: Final answer
    x = 5,440.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.