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Finding the Fourth Proportional to 9,927.70, 13,701.66 and 5,949.18

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Solution

The fourth proportional to 9,927.70, 13,701.66 and 5,949.18 is: 8,210.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,927.70 : 13,701.66 = 5,949.18 : x
  2. Step 2: Convert to fraction form
    9,927.70/13,701.66 = 5,949.18/x
  3. Step 3: Cross multiply
    9,927.70x = 13,701.66 × 5,949.18
  4. Step 4: Simplify right side
    9,927.70x = 81,513,619.33
  5. Step 5: Solve for x
    x = 81,513,619.33/9,927.70
  6. Step 6: Final answer
    x = 8,210.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.