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Finding the Fourth Proportional to 9,418.32, 12,995.96 and 5,640.60

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Solution

The fourth proportional to 9,418.32, 12,995.96 and 5,640.60 is: 7,783.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,418.32 : 12,995.96 = 5,640.60 : x
  2. Step 2: Convert to fraction form
    9,418.32/12,995.96 = 5,640.60/x
  3. Step 3: Cross multiply
    9,418.32x = 12,995.96 × 5,640.60
  4. Step 4: Simplify right side
    9,418.32x = 73,304,983.77
  5. Step 5: Solve for x
    x = 73,304,983.77/9,418.32
  6. Step 6: Final answer
    x = 7,783.23

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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.