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Finding the Fourth Proportional to 9,791.68, 14,690.40 and 8,417.92

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Solution

The fourth proportional to 9,791.68, 14,690.40 and 8,417.92 is: 12,629.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,791.68 : 14,690.40 = 8,417.92 : x
  2. Step 2: Convert to fraction form
    9,791.68/14,690.40 = 8,417.92/x
  3. Step 3: Cross multiply
    9,791.68x = 14,690.40 × 8,417.92
  4. Step 4: Simplify right side
    9,791.68x = 123,662,611.97
  5. Step 5: Solve for x
    x = 123,662,611.97/9,791.68
  6. Step 6: Final answer
    x = 12,629.36

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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.