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Finding the Fourth Proportional to 9,374.70, 14,062.01 and 2,449.20

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Solution

The fourth proportional to 9,374.70, 14,062.01 and 2,449.20 is: 3,673.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,374.70 : 14,062.01 = 2,449.20 : x
  2. Step 2: Convert to fraction form
    9,374.70/14,062.01 = 2,449.20/x
  3. Step 3: Cross multiply
    9,374.70x = 14,062.01 × 2,449.20
  4. Step 4: Simplify right side
    9,374.70x = 34,440,662.65
  5. Step 5: Solve for x
    x = 34,440,662.65/9,374.70
  6. Step 6: Final answer
    x = 3,673.79

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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.