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Finding the Fourth Proportional to 6,773.31, 9,342 and 5,830.65

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Solution

The fourth proportional to 6,773.31, 9,342 and 5,830.65 is: 8,041.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,773.31 : 9,342 = 5,830.65 : x
  2. Step 2: Convert to fraction form
    6,773.31/9,342 = 5,830.65/x
  3. Step 3: Cross multiply
    6,773.31x = 9,342 × 5,830.65
  4. Step 4: Simplify right side
    6,773.31x = 54,469,932.30
  5. Step 5: Solve for x
    x = 54,469,932.30/6,773.31
  6. Step 6: Final answer
    x = 8,041.85

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Why These Related Problems?

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