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Finding the Fourth Proportional to 8,963.56, 12,369.54 and 5,186.92

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Solution

The fourth proportional to 8,963.56, 12,369.54 and 5,186.92 is: 7,157.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,963.56 : 12,369.54 = 5,186.92 : x
  2. Step 2: Convert to fraction form
    8,963.56/12,369.54 = 5,186.92/x
  3. Step 3: Cross multiply
    8,963.56x = 12,369.54 × 5,186.92
  4. Step 4: Simplify right side
    8,963.56x = 64,159,814.42
  5. Step 5: Solve for x
    x = 64,159,814.42/8,963.56
  6. Step 6: Final answer
    x = 7,157.85

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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.