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Finding the Fourth Proportional to 6,505.95, 9,754.92 and 3,167.57

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Solution

The fourth proportional to 6,505.95, 9,754.92 and 3,167.57 is: 4,749.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,505.95 : 9,754.92 = 3,167.57 : x
  2. Step 2: Convert to fraction form
    6,505.95/9,754.92 = 3,167.57/x
  3. Step 3: Cross multiply
    6,505.95x = 9,754.92 × 3,167.57
  4. Step 4: Simplify right side
    6,505.95x = 30,899,391.94
  5. Step 5: Solve for x
    x = 30,899,391.94/6,505.95
  6. Step 6: Final answer
    x = 4,749.41

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