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Finding the Fourth Proportional to 9,644.31, 13,309.03 and 5,665.79

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Solution

The fourth proportional to 9,644.31, 13,309.03 and 5,665.79 is: 7,818.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,644.31 : 13,309.03 = 5,665.79 : x
  2. Step 2: Convert to fraction form
    9,644.31/13,309.03 = 5,665.79/x
  3. Step 3: Cross multiply
    9,644.31x = 13,309.03 × 5,665.79
  4. Step 4: Simplify right side
    9,644.31x = 75,406,169.08
  5. Step 5: Solve for x
    x = 75,406,169.08/9,644.31
  6. Step 6: Final answer
    x = 7,818.72

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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.