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Finding the Fourth Proportional to 6,430.40, 8,874.06 and 3,912.11

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Solution

The fourth proportional to 6,430.40, 8,874.06 and 3,912.11 is: 5,398.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,430.40 : 8,874.06 = 3,912.11 : x
  2. Step 2: Convert to fraction form
    6,430.40/8,874.06 = 3,912.11/x
  3. Step 3: Cross multiply
    6,430.40x = 8,874.06 × 3,912.11
  4. Step 4: Simplify right side
    6,430.40x = 34,716,298.87
  5. Step 5: Solve for x
    x = 34,716,298.87/6,430.40
  6. Step 6: Final answer
    x = 5,398.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.