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Finding the Fourth Proportional to 6,545.34, 9,817.65 and 1,614.96

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Solution

The fourth proportional to 6,545.34, 9,817.65 and 1,614.96 is: 2,422.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,545.34 : 9,817.65 = 1,614.96 : x
  2. Step 2: Convert to fraction form
    6,545.34/9,817.65 = 1,614.96/x
  3. Step 3: Cross multiply
    6,545.34x = 9,817.65 × 1,614.96
  4. Step 4: Simplify right side
    6,545.34x = 15,855,112.04
  5. Step 5: Solve for x
    x = 15,855,112.04/6,545.34
  6. Step 6: Final answer
    x = 2,422.35

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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.