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Finding the Fourth Proportional to 6,463.19, 9,695.70 and 2,513.68

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Solution

The fourth proportional to 6,463.19, 9,695.70 and 2,513.68 is: 3,770.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,463.19 : 9,695.70 = 2,513.68 : x
  2. Step 2: Convert to fraction form
    6,463.19/9,695.70 = 2,513.68/x
  3. Step 3: Cross multiply
    6,463.19x = 9,695.70 × 2,513.68
  4. Step 4: Simplify right side
    6,463.19x = 24,371,917.48
  5. Step 5: Solve for x
    x = 24,371,917.48/6,463.19
  6. Step 6: Final answer
    x = 3,770.88

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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.