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Finding the Fourth Proportional to 7,949.29, 10,969.47 and 4,412.22

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Solution

The fourth proportional to 7,949.29, 10,969.47 and 4,412.22 is: 6,088.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,949.29 : 10,969.47 = 4,412.22 : x
  2. Step 2: Convert to fraction form
    7,949.29/10,969.47 = 4,412.22/x
  3. Step 3: Cross multiply
    7,949.29x = 10,969.47 × 4,412.22
  4. Step 4: Simplify right side
    7,949.29x = 48,399,692.86
  5. Step 5: Solve for x
    x = 48,399,692.86/7,949.29
  6. Step 6: Final answer
    x = 6,088.56

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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.