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Finding the Fourth Proportional to 9,991.10, 14,974.65 and 4,144.70

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Solution

The fourth proportional to 9,991.10, 14,974.65 and 4,144.70 is: 6,212.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,991.10 : 14,974.65 = 4,144.70 : x
  2. Step 2: Convert to fraction form
    9,991.10/14,974.65 = 4,144.70/x
  3. Step 3: Cross multiply
    9,991.10x = 14,974.65 × 4,144.70
  4. Step 4: Simplify right side
    9,991.10x = 62,065,431.86
  5. Step 5: Solve for x
    x = 62,065,431.86/9,991.10
  6. Step 6: Final answer
    x = 6,212.07

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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.