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Finding the Fourth Proportional to 12,612.14, 17,405.73 and 6,947.96

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Solution

The fourth proportional to 12,612.14, 17,405.73 and 6,947.96 is: 9,588.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,612.14 : 17,405.73 = 6,947.96 : x
  2. Step 2: Convert to fraction form
    12,612.14/17,405.73 = 6,947.96/x
  3. Step 3: Cross multiply
    12,612.14x = 17,405.73 × 6,947.96
  4. Step 4: Simplify right side
    12,612.14x = 120,934,228.78
  5. Step 5: Solve for x
    x = 120,934,228.78/12,612.14
  6. Step 6: Final answer
    x = 9,588.72

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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.