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Finding the Fourth Proportional to 8,839.40, 12,202.74 and 5,697.32

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Solution

The fourth proportional to 8,839.40, 12,202.74 and 5,697.32 is: 7,865.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,839.40 : 12,202.74 = 5,697.32 : x
  2. Step 2: Convert to fraction form
    8,839.40/12,202.74 = 5,697.32/x
  3. Step 3: Cross multiply
    8,839.40x = 12,202.74 × 5,697.32
  4. Step 4: Simplify right side
    8,839.40x = 69,522,914.66
  5. Step 5: Solve for x
    x = 69,522,914.66/8,839.40
  6. Step 6: Final answer
    x = 7,865.12

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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.