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Finding the Fourth Proportional to 6,313.67, 9,470.90 and 2,616.19

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Solution

The fourth proportional to 6,313.67, 9,470.90 and 2,616.19 is: 3,924.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,313.67 : 9,470.90 = 2,616.19 : x
  2. Step 2: Convert to fraction form
    6,313.67/9,470.90 = 2,616.19/x
  3. Step 3: Cross multiply
    6,313.67x = 9,470.90 × 2,616.19
  4. Step 4: Simplify right side
    6,313.67x = 24,777,637.11
  5. Step 5: Solve for x
    x = 24,777,637.11/6,313.67
  6. Step 6: Final answer
    x = 3,924.45

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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.