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Finding the Fourth Proportional to 9,141.93, 13,714.03 and 3,217.42

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Solution

The fourth proportional to 9,141.93, 13,714.03 and 3,217.42 is: 4,826.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,141.93 : 13,714.03 = 3,217.42 : x
  2. Step 2: Convert to fraction form
    9,141.93/13,714.03 = 3,217.42/x
  3. Step 3: Cross multiply
    9,141.93x = 13,714.03 × 3,217.42
  4. Step 4: Simplify right side
    9,141.93x = 44,123,794.40
  5. Step 5: Solve for x
    x = 44,123,794.40/9,141.93
  6. Step 6: Final answer
    x = 4,826.53

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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.