Home / 9,024.50-13,542.28-3,830.38

Finding the Fourth Proportional to 9,024.50, 13,542.28 and 3,830.38

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Solution

The fourth proportional to 9,024.50, 13,542.28 and 3,830.38 is: 5,747.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,024.50 : 13,542.28 = 3,830.38 : x
  2. Step 2: Convert to fraction form
    9,024.50/13,542.28 = 3,830.38/x
  3. Step 3: Cross multiply
    9,024.50x = 13,542.28 × 3,830.38
  4. Step 4: Simplify right side
    9,024.50x = 51,872,078.47
  5. Step 5: Solve for x
    x = 51,872,078.47/9,024.50
  6. Step 6: Final answer
    x = 5,747.92

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Why These Related Problems?

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