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Finding the Fourth Proportional to 9,891.92, 13,650.85 and 5,415.95

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Solution

The fourth proportional to 9,891.92, 13,650.85 and 5,415.95 is: 7,474.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,891.92 : 13,650.85 = 5,415.95 : x
  2. Step 2: Convert to fraction form
    9,891.92/13,650.85 = 5,415.95/x
  3. Step 3: Cross multiply
    9,891.92x = 13,650.85 × 5,415.95
  4. Step 4: Simplify right side
    9,891.92x = 73,932,357.99
  5. Step 5: Solve for x
    x = 73,932,357.99/9,891.92
  6. Step 6: Final answer
    x = 7,474.01

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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.