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Finding the Fourth Proportional to 6,876.30, 9,491.68 and 4,223.94

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Solution

The fourth proportional to 6,876.30, 9,491.68 and 4,223.94 is: 5,830.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,876.30 : 9,491.68 = 4,223.94 : x
  2. Step 2: Convert to fraction form
    6,876.30/9,491.68 = 4,223.94/x
  3. Step 3: Cross multiply
    6,876.30x = 9,491.68 × 4,223.94
  4. Step 4: Simplify right side
    6,876.30x = 40,092,286.82
  5. Step 5: Solve for x
    x = 40,092,286.82/6,876.30
  6. Step 6: Final answer
    x = 5,830.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.