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Finding the Fourth Proportional to 6,544.20, 9,813.01 and 3,031.19

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Solution

The fourth proportional to 6,544.20, 9,813.01 and 3,031.19 is: 4,545.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,544.20 : 9,813.01 = 3,031.19 : x
  2. Step 2: Convert to fraction form
    6,544.20/9,813.01 = 3,031.19/x
  3. Step 3: Cross multiply
    6,544.20x = 9,813.01 × 3,031.19
  4. Step 4: Simplify right side
    6,544.20x = 29,745,097.78
  5. Step 5: Solve for x
    x = 29,745,097.78/6,544.20
  6. Step 6: Final answer
    x = 4,545.26

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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.