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Finding the Fourth Proportional to 6,147.28, 9,220.65 and 2,859.22

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Solution

The fourth proportional to 6,147.28, 9,220.65 and 2,859.22 is: 4,288.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,147.28 : 9,220.65 = 2,859.22 : x
  2. Step 2: Convert to fraction form
    6,147.28/9,220.65 = 2,859.22/x
  3. Step 3: Cross multiply
    6,147.28x = 9,220.65 × 2,859.22
  4. Step 4: Simplify right side
    6,147.28x = 26,363,866.89
  5. Step 5: Solve for x
    x = 26,363,866.89/6,147.28
  6. Step 6: Final answer
    x = 4,288.70

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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.