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Finding the Fourth Proportional to 6,294.28, 9,442.62 and 3,375.84

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Solution

The fourth proportional to 6,294.28, 9,442.62 and 3,375.84 is: 5,064.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,294.28 : 9,442.62 = 3,375.84 : x
  2. Step 2: Convert to fraction form
    6,294.28/9,442.62 = 3,375.84/x
  3. Step 3: Cross multiply
    6,294.28x = 9,442.62 × 3,375.84
  4. Step 4: Simplify right side
    6,294.28x = 31,876,774.30
  5. Step 5: Solve for x
    x = 31,876,774.30/6,294.28
  6. Step 6: Final answer
    x = 5,064.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.