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Finding the Fourth Proportional to 9,462.60, 13,046.80 and 5,919.66

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Solution

The fourth proportional to 9,462.60, 13,046.80 and 5,919.66 is: 8,161.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,462.60 : 13,046.80 = 5,919.66 : x
  2. Step 2: Convert to fraction form
    9,462.60/13,046.80 = 5,919.66/x
  3. Step 3: Cross multiply
    9,462.60x = 13,046.80 × 5,919.66
  4. Step 4: Simplify right side
    9,462.60x = 77,232,620.09
  5. Step 5: Solve for x
    x = 77,232,620.09/9,462.60
  6. Step 6: Final answer
    x = 8,161.88

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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.