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Finding the Fourth Proportional to 6,363.70, 9,544.32 and 1,981.20

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Solution

The fourth proportional to 6,363.70, 9,544.32 and 1,981.20 is: 2,971.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,363.70 : 9,544.32 = 1,981.20 : x
  2. Step 2: Convert to fraction form
    6,363.70/9,544.32 = 1,981.20/x
  3. Step 3: Cross multiply
    6,363.70x = 9,544.32 × 1,981.20
  4. Step 4: Simplify right side
    6,363.70x = 18,909,206.78
  5. Step 5: Solve for x
    x = 18,909,206.78/6,363.70
  6. Step 6: Final answer
    x = 2,971.42

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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.