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Finding the Fourth Proportional to 6,309.70, 9,463.02 and 2,797.76

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Solution

The fourth proportional to 6,309.70, 9,463.02 and 2,797.76 is: 4,195.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,309.70 : 9,463.02 = 2,797.76 : x
  2. Step 2: Convert to fraction form
    6,309.70/9,463.02 = 2,797.76/x
  3. Step 3: Cross multiply
    6,309.70x = 9,463.02 × 2,797.76
  4. Step 4: Simplify right side
    6,309.70x = 26,475,258.84
  5. Step 5: Solve for x
    x = 26,475,258.84/6,309.70
  6. Step 6: Final answer
    x = 4,195.96

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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.