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Finding the Fourth Proportional to 6,615.42, 9,923.13 and 3,142.14

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Solution

The fourth proportional to 6,615.42, 9,923.13 and 3,142.14 is: 4,713.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,615.42 : 9,923.13 = 3,142.14 : x
  2. Step 2: Convert to fraction form
    6,615.42/9,923.13 = 3,142.14/x
  3. Step 3: Cross multiply
    6,615.42x = 9,923.13 × 3,142.14
  4. Step 4: Simplify right side
    6,615.42x = 31,179,863.70
  5. Step 5: Solve for x
    x = 31,179,863.70/6,615.42
  6. Step 6: Final answer
    x = 4,713.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.