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Finding the Fourth Proportional to 6,474.49, 9,711.72 and 2,774.32

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Solution

The fourth proportional to 6,474.49, 9,711.72 and 2,774.32 is: 4,161.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,474.49 : 9,711.72 = 2,774.32 : x
  2. Step 2: Convert to fraction form
    6,474.49/9,711.72 = 2,774.32/x
  3. Step 3: Cross multiply
    6,474.49x = 9,711.72 × 2,774.32
  4. Step 4: Simplify right side
    6,474.49x = 26,943,394.75
  5. Step 5: Solve for x
    x = 26,943,394.75/6,474.49
  6. Step 6: Final answer
    x = 4,161.47

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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.