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Finding the Fourth Proportional to 9,335.23, 13,988.26 and 7,942.84

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Solution

The fourth proportional to 9,335.23, 13,988.26 and 7,942.84 is: 11,901.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,335.23 : 13,988.26 = 7,942.84 : x
  2. Step 2: Convert to fraction form
    9,335.23/13,988.26 = 7,942.84/x
  3. Step 3: Cross multiply
    9,335.23x = 13,988.26 × 7,942.84
  4. Step 4: Simplify right side
    9,335.23x = 111,106,456.23
  5. Step 5: Solve for x
    x = 111,106,456.23/9,335.23
  6. Step 6: Final answer
    x = 11,901.85

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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.