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Finding the Fourth Proportional to 9,243.72, 13,865.04 and 2,669.76

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Solution

The fourth proportional to 9,243.72, 13,865.04 and 2,669.76 is: 4,004.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,243.72 : 13,865.04 = 2,669.76 : x
  2. Step 2: Convert to fraction form
    9,243.72/13,865.04 = 2,669.76/x
  3. Step 3: Cross multiply
    9,243.72x = 13,865.04 × 2,669.76
  4. Step 4: Simplify right side
    9,243.72x = 37,016,329.19
  5. Step 5: Solve for x
    x = 37,016,329.19/9,243.72
  6. Step 6: Final answer
    x = 4,004.48

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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.