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Finding the Fourth Proportional to 7,969.48, 10,997.73 and 4,432.62

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Solution

The fourth proportional to 7,969.48, 10,997.73 and 4,432.62 is: 6,116.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,969.48 : 10,997.73 = 4,432.62 : x
  2. Step 2: Convert to fraction form
    7,969.48/10,997.73 = 4,432.62/x
  3. Step 3: Cross multiply
    7,969.48x = 10,997.73 × 4,432.62
  4. Step 4: Simplify right side
    7,969.48x = 48,748,757.95
  5. Step 5: Solve for x
    x = 48,748,757.95/7,969.48
  6. Step 6: Final answer
    x = 6,116.93

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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.