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Finding the Fourth Proportional to 6,453.32, 9,680.56 and 2,503.30

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Solution

The fourth proportional to 6,453.32, 9,680.56 and 2,503.30 is: 3,755.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,453.32 : 9,680.56 = 2,503.30 : x
  2. Step 2: Convert to fraction form
    6,453.32/9,680.56 = 2,503.30/x
  3. Step 3: Cross multiply
    6,453.32x = 9,680.56 × 2,503.30
  4. Step 4: Simplify right side
    6,453.32x = 24,233,345.85
  5. Step 5: Solve for x
    x = 24,233,345.85/6,453.32
  6. Step 6: Final answer
    x = 3,755.17

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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.