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Finding the Fourth Proportional to 9,976.51, 14,974.18 and 5,049.68

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Solution

The fourth proportional to 9,976.51, 14,974.18 and 5,049.68 is: 7,579.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,976.51 : 14,974.18 = 5,049.68 : x
  2. Step 2: Convert to fraction form
    9,976.51/14,974.18 = 5,049.68/x
  3. Step 3: Cross multiply
    9,976.51x = 14,974.18 × 5,049.68
  4. Step 4: Simplify right side
    9,976.51x = 75,614,842.07
  5. Step 5: Solve for x
    x = 75,614,842.07/9,976.51
  6. Step 6: Final answer
    x = 7,579.29

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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.