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Finding the Fourth Proportional to 6,113.95, 9,170.93 and 3,191.57

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Solution

The fourth proportional to 6,113.95, 9,170.93 and 3,191.57 is: 4,787.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,113.95 : 9,170.93 = 3,191.57 : x
  2. Step 2: Convert to fraction form
    6,113.95/9,170.93 = 3,191.57/x
  3. Step 3: Cross multiply
    6,113.95x = 9,170.93 × 3,191.57
  4. Step 4: Simplify right side
    6,113.95x = 29,269,649.10
  5. Step 5: Solve for x
    x = 29,269,649.10/6,113.95
  6. Step 6: Final answer
    x = 4,787.36

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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.