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Finding the Fourth Proportional to 9,891.30, 13,650.32 and 5,415.24

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Solution

The fourth proportional to 9,891.30, 13,650.32 and 5,415.24 is: 7,473.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,891.30 : 13,650.32 = 5,415.24 : x
  2. Step 2: Convert to fraction form
    9,891.30/13,650.32 = 5,415.24/x
  3. Step 3: Cross multiply
    9,891.30x = 13,650.32 × 5,415.24
  4. Step 4: Simplify right side
    9,891.30x = 73,919,731.80
  5. Step 5: Solve for x
    x = 73,919,731.80/9,891.30
  6. Step 6: Final answer
    x = 7,473.21

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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.