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Finding the Fourth Proportional to 7,969.04, 10,997.12 and 4,432.18

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Solution

The fourth proportional to 7,969.04, 10,997.12 and 4,432.18 is: 6,116.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,969.04 : 10,997.12 = 4,432.18 : x
  2. Step 2: Convert to fraction form
    7,969.04/10,997.12 = 4,432.18/x
  3. Step 3: Cross multiply
    7,969.04x = 10,997.12 × 4,432.18
  4. Step 4: Simplify right side
    7,969.04x = 48,741,198.91
  5. Step 5: Solve for x
    x = 48,741,198.91/7,969.04
  6. Step 6: Final answer
    x = 6,116.32

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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.