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Finding the Fourth Proportional to 9,539.22, 14,306.22 and 3,991.38

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Solution

The fourth proportional to 9,539.22, 14,306.22 and 3,991.38 is: 5,985.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,539.22 : 14,306.22 = 3,991.38 : x
  2. Step 2: Convert to fraction form
    9,539.22/14,306.22 = 3,991.38/x
  3. Step 3: Cross multiply
    9,539.22x = 14,306.22 × 3,991.38
  4. Step 4: Simplify right side
    9,539.22x = 57,101,560.38
  5. Step 5: Solve for x
    x = 57,101,560.38/9,539.22
  6. Step 6: Final answer
    x = 5,985.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.