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Finding the Fourth Proportional to 7,227.58, 9,970.32 and 4,241.42

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Solution

The fourth proportional to 7,227.58, 9,970.32 and 4,241.42 is: 5,850.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,227.58 : 9,970.32 = 4,241.42 : x
  2. Step 2: Convert to fraction form
    7,227.58/9,970.32 = 4,241.42/x
  3. Step 3: Cross multiply
    7,227.58x = 9,970.32 × 4,241.42
  4. Step 4: Simplify right side
    7,227.58x = 42,288,314.65
  5. Step 5: Solve for x
    x = 42,288,314.65/7,227.58
  6. Step 6: Final answer
    x = 5,850.96

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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.