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Finding the Fourth Proportional to 9,991.14, 14,986.71 and 2,971.13

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Solution

The fourth proportional to 9,991.14, 14,986.71 and 2,971.13 is: 4,456.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,991.14 : 14,986.71 = 2,971.13 : x
  2. Step 2: Convert to fraction form
    9,991.14/14,986.71 = 2,971.13/x
  3. Step 3: Cross multiply
    9,991.14x = 14,986.71 × 2,971.13
  4. Step 4: Simplify right side
    9,991.14x = 44,527,456.09
  5. Step 5: Solve for x
    x = 44,527,456.09/9,991.14
  6. Step 6: Final answer
    x = 4,456.69

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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.