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Finding the Fourth Proportional to 12,281.93, 16,947.83 and 6,975.71

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Solution

The fourth proportional to 12,281.93, 16,947.83 and 6,975.71 is: 9,625.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,281.93 : 16,947.83 = 6,975.71 : x
  2. Step 2: Convert to fraction form
    12,281.93/16,947.83 = 6,975.71/x
  3. Step 3: Cross multiply
    12,281.93x = 16,947.83 × 6,975.71
  4. Step 4: Simplify right side
    12,281.93x = 118,223,112.33
  5. Step 5: Solve for x
    x = 118,223,112.33/12,281.93
  6. Step 6: Final answer
    x = 9,625.78

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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.