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Finding the Fourth Proportional to 9,239.76, 13,843.22 and 5,290.86

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Solution

The fourth proportional to 9,239.76, 13,843.22 and 5,290.86 is: 7,926.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,239.76 : 13,843.22 = 5,290.86 : x
  2. Step 2: Convert to fraction form
    9,239.76/13,843.22 = 5,290.86/x
  3. Step 3: Cross multiply
    9,239.76x = 13,843.22 × 5,290.86
  4. Step 4: Simplify right side
    9,239.76x = 73,242,538.97
  5. Step 5: Solve for x
    x = 73,242,538.97/9,239.76
  6. Step 6: Final answer
    x = 7,926.89

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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.