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Finding the Fourth Proportional to 9,202.04, 13,736.31 and 8,516.76

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Solution

The fourth proportional to 9,202.04, 13,736.31 and 8,516.76 is: 12,713.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,202.04 : 13,736.31 = 8,516.76 : x
  2. Step 2: Convert to fraction form
    9,202.04/13,736.31 = 8,516.76/x
  3. Step 3: Cross multiply
    9,202.04x = 13,736.31 × 8,516.76
  4. Step 4: Simplify right side
    9,202.04x = 116,988,855.56
  5. Step 5: Solve for x
    x = 116,988,855.56/9,202.04
  6. Step 6: Final answer
    x = 12,713.36

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.