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Finding the Fourth Proportional to 9,101.07, 13,638.78 and 7,243.92

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Solution

The fourth proportional to 9,101.07, 13,638.78 and 7,243.92 is: 10,855.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,101.07 : 13,638.78 = 7,243.92 : x
  2. Step 2: Convert to fraction form
    9,101.07/13,638.78 = 7,243.92/x
  3. Step 3: Cross multiply
    9,101.07x = 13,638.78 × 7,243.92
  4. Step 4: Simplify right side
    9,101.07x = 98,798,231.22
  5. Step 5: Solve for x
    x = 98,798,231.22/9,101.07
  6. Step 6: Final answer
    x = 10,855.67

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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.