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Finding the Fourth Proportional to 6,294.26, 9,422.49 and 4,315.70

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Solution

The fourth proportional to 6,294.26, 9,422.49 and 4,315.70 is: 6,460.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,294.26 : 9,422.49 = 4,315.70 : x
  2. Step 2: Convert to fraction form
    6,294.26/9,422.49 = 4,315.70/x
  3. Step 3: Cross multiply
    6,294.26x = 9,422.49 × 4,315.70
  4. Step 4: Simplify right side
    6,294.26x = 40,664,640.09
  5. Step 5: Solve for x
    x = 40,664,640.09/6,294.26
  6. Step 6: Final answer
    x = 6,460.59

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