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Finding the Fourth Proportional to 9,640.08, 13,301.82 and 5,660.82

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Solution

The fourth proportional to 9,640.08, 13,301.82 and 5,660.82 is: 7,811.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,640.08 : 13,301.82 = 5,660.82 : x
  2. Step 2: Convert to fraction form
    9,640.08/13,301.82 = 5,660.82/x
  3. Step 3: Cross multiply
    9,640.08x = 13,301.82 × 5,660.82
  4. Step 4: Simplify right side
    9,640.08x = 75,299,208.69
  5. Step 5: Solve for x
    x = 75,299,208.69/9,640.08
  6. Step 6: Final answer
    x = 7,811.06

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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.