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Finding the Fourth Proportional to 9,960.42, 13,743.79 and 5,710.72

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Solution

The fourth proportional to 9,960.42, 13,743.79 and 5,710.72 is: 7,879.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,960.42 : 13,743.79 = 5,710.72 : x
  2. Step 2: Convert to fraction form
    9,960.42/13,743.79 = 5,710.72/x
  3. Step 3: Cross multiply
    9,960.42x = 13,743.79 × 5,710.72
  4. Step 4: Simplify right side
    9,960.42x = 78,486,936.43
  5. Step 5: Solve for x
    x = 78,486,936.43/9,960.42
  6. Step 6: Final answer
    x = 7,879.88

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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.