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Finding the Fourth Proportional to 6,226.28, 9,293.86 and 5,488.20

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Solution

The fourth proportional to 6,226.28, 9,293.86 and 5,488.20 is: 8,192.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,226.28 : 9,293.86 = 5,488.20 : x
  2. Step 2: Convert to fraction form
    6,226.28/9,293.86 = 5,488.20/x
  3. Step 3: Cross multiply
    6,226.28x = 9,293.86 × 5,488.20
  4. Step 4: Simplify right side
    6,226.28x = 51,006,562.45
  5. Step 5: Solve for x
    x = 51,006,562.45/6,226.28
  6. Step 6: Final answer
    x = 8,192.14

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.