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Finding the Fourth Proportional to 6,226.78, 9,294.59 and 5,488.69

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Solution

The fourth proportional to 6,226.78, 9,294.59 and 5,488.69 is: 8,192.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,226.78 : 9,294.59 = 5,488.69 : x
  2. Step 2: Convert to fraction form
    6,226.78/9,294.59 = 5,488.69/x
  3. Step 3: Cross multiply
    6,226.78x = 9,294.59 × 5,488.69
  4. Step 4: Simplify right side
    6,226.78x = 51,015,123.19
  5. Step 5: Solve for x
    x = 51,015,123.19/6,226.78
  6. Step 6: Final answer
    x = 8,192.86

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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.