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Finding the Fourth Proportional to 9,644.60, 13,309.65 and 5,665.88

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Solution

The fourth proportional to 9,644.60, 13,309.65 and 5,665.88 is: 7,818.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,644.60 : 13,309.65 = 5,665.88 : x
  2. Step 2: Convert to fraction form
    9,644.60/13,309.65 = 5,665.88/x
  3. Step 3: Cross multiply
    9,644.60x = 13,309.65 × 5,665.88
  4. Step 4: Simplify right side
    9,644.60x = 75,410,813.19
  5. Step 5: Solve for x
    x = 75,410,813.19/9,644.60
  6. Step 6: Final answer
    x = 7,818.97

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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.