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Finding the Fourth Proportional to 7,169.38, 9,893.75 and 4,025.57

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Solution

The fourth proportional to 7,169.38, 9,893.75 and 4,025.57 is: 5,555.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,169.38 : 9,893.75 = 4,025.57 : x
  2. Step 2: Convert to fraction form
    7,169.38/9,893.75 = 4,025.57/x
  3. Step 3: Cross multiply
    7,169.38x = 9,893.75 × 4,025.57
  4. Step 4: Simplify right side
    7,169.38x = 39,827,913.59
  5. Step 5: Solve for x
    x = 39,827,913.59/7,169.38
  6. Step 6: Final answer
    x = 5,555.28

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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.