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Finding the Fourth Proportional to 6,352.84, 9,528.32 and 2,456.76

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Solution

The fourth proportional to 6,352.84, 9,528.32 and 2,456.76 is: 3,684.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,352.84 : 9,528.32 = 2,456.76 : x
  2. Step 2: Convert to fraction form
    6,352.84/9,528.32 = 2,456.76/x
  3. Step 3: Cross multiply
    6,352.84x = 9,528.32 × 2,456.76
  4. Step 4: Simplify right side
    6,352.84x = 23,408,795.44
  5. Step 5: Solve for x
    x = 23,408,795.44/6,352.84
  6. Step 6: Final answer
    x = 3,684.78

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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.