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Finding the Fourth Proportional to 6,988.25, 9,643.79 and 4,193.75

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Solution

The fourth proportional to 6,988.25, 9,643.79 and 4,193.75 is: 5,787.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,988.25 : 9,643.79 = 4,193.75 : x
  2. Step 2: Convert to fraction form
    6,988.25/9,643.79 = 4,193.75/x
  3. Step 3: Cross multiply
    6,988.25x = 9,643.79 × 4,193.75
  4. Step 4: Simplify right side
    6,988.25x = 40,443,644.31
  5. Step 5: Solve for x
    x = 40,443,644.31/6,988.25
  6. Step 6: Final answer
    x = 5,787.38

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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.