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Finding the Fourth Proportional to 12,612.44, 17,405 and 6,947.06

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Solution

The fourth proportional to 12,612.44, 17,405 and 6,947.06 is: 9,586.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,612.44 : 17,405 = 6,947.06 : x
  2. Step 2: Convert to fraction form
    12,612.44/17,405 = 6,947.06/x
  3. Step 3: Cross multiply
    12,612.44x = 17,405 × 6,947.06
  4. Step 4: Simplify right side
    12,612.44x = 120,913,579.30
  5. Step 5: Solve for x
    x = 120,913,579.30/12,612.44
  6. Step 6: Final answer
    x = 9,586.85

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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.