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Finding the Fourth Proportional to 9,158.44, 13,734.66 and 3,001

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Solution

The fourth proportional to 9,158.44, 13,734.66 and 3,001 is: 4,500.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,158.44 : 13,734.66 = 3,001 : x
  2. Step 2: Convert to fraction form
    9,158.44/13,734.66 = 3,001/x
  3. Step 3: Cross multiply
    9,158.44x = 13,734.66 × 3,001
  4. Step 4: Simplify right side
    9,158.44x = 41,217,714.66
  5. Step 5: Solve for x
    x = 41,217,714.66/9,158.44
  6. Step 6: Final answer
    x = 4,500.52

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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.