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Finding the Fourth Proportional to 6,386.88, 9,581.76 and 1,944.94

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Solution

The fourth proportional to 6,386.88, 9,581.76 and 1,944.94 is: 2,917.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,386.88 : 9,581.76 = 1,944.94 : x
  2. Step 2: Convert to fraction form
    6,386.88/9,581.76 = 1,944.94/x
  3. Step 3: Cross multiply
    6,386.88x = 9,581.76 × 1,944.94
  4. Step 4: Simplify right side
    6,386.88x = 18,635,960.27
  5. Step 5: Solve for x
    x = 18,635,960.27/6,386.88
  6. Step 6: Final answer
    x = 2,917.85

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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.