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Finding the Fourth Proportional to 9,891.32, 13,648.70 and 6,359.31

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Solution

The fourth proportional to 9,891.32, 13,648.70 and 6,359.31 is: 8,775.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,891.32 : 13,648.70 = 6,359.31 : x
  2. Step 2: Convert to fraction form
    9,891.32/13,648.70 = 6,359.31/x
  3. Step 3: Cross multiply
    9,891.32x = 13,648.70 × 6,359.31
  4. Step 4: Simplify right side
    9,891.32x = 86,796,330.30
  5. Step 5: Solve for x
    x = 86,796,330.30/9,891.32
  6. Step 6: Final answer
    x = 8,775.00

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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.