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Finding the Fourth Proportional to 9,529.96, 13,121.46 and 8,655.16

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Solution

The fourth proportional to 9,529.96, 13,121.46 and 8,655.16 is: 11,916.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,529.96 : 13,121.46 = 8,655.16 : x
  2. Step 2: Convert to fraction form
    9,529.96/13,121.46 = 8,655.16/x
  3. Step 3: Cross multiply
    9,529.96x = 13,121.46 × 8,655.16
  4. Step 4: Simplify right side
    9,529.96x = 113,568,335.73
  5. Step 5: Solve for x
    x = 113,568,335.73/9,529.96
  6. Step 6: Final answer
    x = 11,916.98

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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.