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Finding the Fourth Proportional to 6,427.32, 9,640.98 and 2,267.65

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Solution

The fourth proportional to 6,427.32, 9,640.98 and 2,267.65 is: 3,401.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,427.32 : 9,640.98 = 2,267.65 : x
  2. Step 2: Convert to fraction form
    6,427.32/9,640.98 = 2,267.65/x
  3. Step 3: Cross multiply
    6,427.32x = 9,640.98 × 2,267.65
  4. Step 4: Simplify right side
    6,427.32x = 21,862,368.30
  5. Step 5: Solve for x
    x = 21,862,368.30/6,427.32
  6. Step 6: Final answer
    x = 3,401.48

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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.