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Finding the Fourth Proportional to 6,757.31, 9,326.75 and 4,106.48

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Solution

The fourth proportional to 6,757.31, 9,326.75 and 4,106.48 is: 5,667.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,757.31 : 9,326.75 = 4,106.48 : x
  2. Step 2: Convert to fraction form
    6,757.31/9,326.75 = 4,106.48/x
  3. Step 3: Cross multiply
    6,757.31x = 9,326.75 × 4,106.48
  4. Step 4: Simplify right side
    6,757.31x = 38,300,045.17
  5. Step 5: Solve for x
    x = 38,300,045.17/6,757.31
  6. Step 6: Final answer
    x = 5,667.95

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