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Finding the Fourth Proportional to 9,119.43, 12,576.42 and 5,756.43

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Solution

The fourth proportional to 9,119.43, 12,576.42 and 5,756.43 is: 7,938.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,119.43 : 12,576.42 = 5,756.43 : x
  2. Step 2: Convert to fraction form
    9,119.43/12,576.42 = 5,756.43/x
  3. Step 3: Cross multiply
    9,119.43x = 12,576.42 × 5,756.43
  4. Step 4: Simplify right side
    9,119.43x = 72,395,281.38
  5. Step 5: Solve for x
    x = 72,395,281.38/9,119.43
  6. Step 6: Final answer
    x = 7,938.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.