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Finding the Fourth Proportional to 6,243.68, 9,358.56 and 2,780.48

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Solution

The fourth proportional to 6,243.68, 9,358.56 and 2,780.48 is: 4,167.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,243.68 : 9,358.56 = 2,780.48 : x
  2. Step 2: Convert to fraction form
    6,243.68/9,358.56 = 2,780.48/x
  3. Step 3: Cross multiply
    6,243.68x = 9,358.56 × 2,780.48
  4. Step 4: Simplify right side
    6,243.68x = 26,021,288.91
  5. Step 5: Solve for x
    x = 26,021,288.91/6,243.68
  6. Step 6: Final answer
    x = 4,167.62

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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.