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Finding the Fourth Proportional to 7,221.61, 9,965.46 and 4,034.27

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Solution

The fourth proportional to 7,221.61, 9,965.46 and 4,034.27 is: 5,567.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,221.61 : 9,965.46 = 4,034.27 : x
  2. Step 2: Convert to fraction form
    7,221.61/9,965.46 = 4,034.27/x
  3. Step 3: Cross multiply
    7,221.61x = 9,965.46 × 4,034.27
  4. Step 4: Simplify right side
    7,221.61x = 40,203,381.23
  5. Step 5: Solve for x
    x = 40,203,381.23/7,221.61
  6. Step 6: Final answer
    x = 5,567.10

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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.