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Finding the Fourth Proportional to 9,537.76, 13,151.04 and 8,947.36

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Solution

The fourth proportional to 9,537.76, 13,151.04 and 8,947.36 is: 12,336.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,537.76 : 13,151.04 = 8,947.36 : x
  2. Step 2: Convert to fraction form
    9,537.76/13,151.04 = 8,947.36/x
  3. Step 3: Cross multiply
    9,537.76x = 13,151.04 × 8,947.36
  4. Step 4: Simplify right side
    9,537.76x = 117,667,089.25
  5. Step 5: Solve for x
    x = 117,667,089.25/9,537.76
  6. Step 6: Final answer
    x = 12,336.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.