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Finding the Fourth Proportional to 9,760.74, 13,471.40 and 5,986

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Solution

The fourth proportional to 9,760.74, 13,471.40 and 5,986 is: 8,261.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,760.74 : 13,471.40 = 5,986 : x
  2. Step 2: Convert to fraction form
    9,760.74/13,471.40 = 5,986/x
  3. Step 3: Cross multiply
    9,760.74x = 13,471.40 × 5,986
  4. Step 4: Simplify right side
    9,760.74x = 80,639,800.40
  5. Step 5: Solve for x
    x = 80,639,800.40/9,760.74
  6. Step 6: Final answer
    x = 8,261.65

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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.