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Finding the Fourth Proportional to 7,229.88, 9,970.05 and 5,441.64

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Solution

The fourth proportional to 7,229.88, 9,970.05 and 5,441.64 is: 7,504.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,229.88 : 9,970.05 = 5,441.64 : x
  2. Step 2: Convert to fraction form
    7,229.88/9,970.05 = 5,441.64/x
  3. Step 3: Cross multiply
    7,229.88x = 9,970.05 × 5,441.64
  4. Step 4: Simplify right side
    7,229.88x = 54,253,422.88
  5. Step 5: Solve for x
    x = 54,253,422.88/7,229.88
  6. Step 6: Final answer
    x = 7,504.06

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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.