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Finding the Fourth Proportional to 8,974.68, 12,386.76 and 5,944.44

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Solution

The fourth proportional to 8,974.68, 12,386.76 and 5,944.44 is: 8,204.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,974.68 : 12,386.76 = 5,944.44 : x
  2. Step 2: Convert to fraction form
    8,974.68/12,386.76 = 5,944.44/x
  3. Step 3: Cross multiply
    8,974.68x = 12,386.76 × 5,944.44
  4. Step 4: Simplify right side
    8,974.68x = 73,632,351.61
  5. Step 5: Solve for x
    x = 73,632,351.61/8,974.68
  6. Step 6: Final answer
    x = 8,204.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.