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Finding the Fourth Proportional to 6,545.04, 9,814.26 and 2,384.40

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Solution

The fourth proportional to 6,545.04, 9,814.26 and 2,384.40 is: 3,575.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,545.04 : 9,814.26 = 2,384.40 : x
  2. Step 2: Convert to fraction form
    6,545.04/9,814.26 = 2,384.40/x
  3. Step 3: Cross multiply
    6,545.04x = 9,814.26 × 2,384.40
  4. Step 4: Simplify right side
    6,545.04x = 23,401,121.54
  5. Step 5: Solve for x
    x = 23,401,121.54/6,545.04
  6. Step 6: Final answer
    x = 3,575.40

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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.