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Finding the Fourth Proportional to 12,215.81, 16,865.39 and 9,377.75

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Solution

The fourth proportional to 12,215.81, 16,865.39 and 9,377.75 is: 12,947.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,215.81 : 16,865.39 = 9,377.75 : x
  2. Step 2: Convert to fraction form
    12,215.81/16,865.39 = 9,377.75/x
  3. Step 3: Cross multiply
    12,215.81x = 16,865.39 × 9,377.75
  4. Step 4: Simplify right side
    12,215.81x = 158,159,406.35
  5. Step 5: Solve for x
    x = 158,159,406.35/12,215.81
  6. Step 6: Final answer
    x = 12,947.11

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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.