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Finding the Fourth Proportional to 6,346.46, 9,515.96 and 2,965.52

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Solution

The fourth proportional to 6,346.46, 9,515.96 and 2,965.52 is: 4,446.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,346.46 : 9,515.96 = 2,965.52 : x
  2. Step 2: Convert to fraction form
    6,346.46/9,515.96 = 2,965.52/x
  3. Step 3: Cross multiply
    6,346.46x = 9,515.96 × 2,965.52
  4. Step 4: Simplify right side
    6,346.46x = 28,219,769.70
  5. Step 5: Solve for x
    x = 28,219,769.70/6,346.46
  6. Step 6: Final answer
    x = 4,446.54

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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.