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Finding the Fourth Proportional to 9,374.67, 14,062.26 and 4,106.97

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Solution

The fourth proportional to 9,374.67, 14,062.26 and 4,106.97 is: 6,160.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,374.67 : 14,062.26 = 4,106.97 : x
  2. Step 2: Convert to fraction form
    9,374.67/14,062.26 = 4,106.97/x
  3. Step 3: Cross multiply
    9,374.67x = 14,062.26 × 4,106.97
  4. Step 4: Simplify right side
    9,374.67x = 57,753,279.95
  5. Step 5: Solve for x
    x = 57,753,279.95/9,374.67
  6. Step 6: Final answer
    x = 6,160.57

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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.