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Finding the Fourth Proportional to 9,961.20, 14,947.20 and 4,118.40

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Solution

The fourth proportional to 9,961.20, 14,947.20 and 4,118.40 is: 6,179.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,961.20 : 14,947.20 = 4,118.40 : x
  2. Step 2: Convert to fraction form
    9,961.20/14,947.20 = 4,118.40/x
  3. Step 3: Cross multiply
    9,961.20x = 14,947.20 × 4,118.40
  4. Step 4: Simplify right side
    9,961.20x = 61,558,548.48
  5. Step 5: Solve for x
    x = 61,558,548.48/9,961.20
  6. Step 6: Final answer
    x = 6,179.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.