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Finding the Fourth Proportional to 9,644.76, 13,309.92 and 5,666.40

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Solution

The fourth proportional to 9,644.76, 13,309.92 and 5,666.40 is: 7,819.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,644.76 : 13,309.92 = 5,666.40 : x
  2. Step 2: Convert to fraction form
    9,644.76/13,309.92 = 5,666.40/x
  3. Step 3: Cross multiply
    9,644.76x = 13,309.92 × 5,666.40
  4. Step 4: Simplify right side
    9,644.76x = 75,419,330.69
  5. Step 5: Solve for x
    x = 75,419,330.69/9,644.76
  6. Step 6: Final answer
    x = 7,819.72

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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.