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Finding the Fourth Proportional to 9,538.67, 14,305.40 and 3,991.11

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Solution

The fourth proportional to 9,538.67, 14,305.40 and 3,991.11 is: 5,985.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,538.67 : 14,305.40 = 3,991.11 : x
  2. Step 2: Convert to fraction form
    9,538.67/14,305.40 = 3,991.11/x
  3. Step 3: Cross multiply
    9,538.67x = 14,305.40 × 3,991.11
  4. Step 4: Simplify right side
    9,538.67x = 57,094,405.04
  5. Step 5: Solve for x
    x = 57,094,405.04/9,538.67
  6. Step 6: Final answer
    x = 5,985.58

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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.