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Finding the Fourth Proportional to 9,452.81, 13,043.36 and 5,675.38

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Solution

The fourth proportional to 9,452.81, 13,043.36 and 5,675.38 is: 7,831.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,452.81 : 13,043.36 = 5,675.38 : x
  2. Step 2: Convert to fraction form
    9,452.81/13,043.36 = 5,675.38/x
  3. Step 3: Cross multiply
    9,452.81x = 13,043.36 × 5,675.38
  4. Step 4: Simplify right side
    9,452.81x = 74,025,930.88
  5. Step 5: Solve for x
    x = 74,025,930.88/9,452.81
  6. Step 6: Final answer
    x = 7,831.10

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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.