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Finding the Fourth Proportional to 7,122.32, 9,821.40 and 5,142.32

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Solution

The fourth proportional to 7,122.32, 9,821.40 and 5,142.32 is: 7,091.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,122.32 : 9,821.40 = 5,142.32 : x
  2. Step 2: Convert to fraction form
    7,122.32/9,821.40 = 5,142.32/x
  3. Step 3: Cross multiply
    7,122.32x = 9,821.40 × 5,142.32
  4. Step 4: Simplify right side
    7,122.32x = 50,504,781.65
  5. Step 5: Solve for x
    x = 50,504,781.65/7,122.32
  6. Step 6: Final answer
    x = 7,091.06

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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.