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Finding the Fourth Proportional to 9,486.60, 14,237.16 and 6,198.78

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Solution

The fourth proportional to 9,486.60, 14,237.16 and 6,198.78 is: 9,302.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,486.60 : 14,237.16 = 6,198.78 : x
  2. Step 2: Convert to fraction form
    9,486.60/14,237.16 = 6,198.78/x
  3. Step 3: Cross multiply
    9,486.60x = 14,237.16 × 6,198.78
  4. Step 4: Simplify right side
    9,486.60x = 88,253,022.66
  5. Step 5: Solve for x
    x = 88,253,022.66/9,486.60
  6. Step 6: Final answer
    x = 9,302.91

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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.