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Finding the Fourth Proportional to 8,963.14, 12,354.81 and 7,191.94

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Solution

The fourth proportional to 8,963.14, 12,354.81 and 7,191.94 is: 9,913.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,963.14 : 12,354.81 = 7,191.94 : x
  2. Step 2: Convert to fraction form
    8,963.14/12,354.81 = 7,191.94/x
  3. Step 3: Cross multiply
    8,963.14x = 12,354.81 × 7,191.94
  4. Step 4: Simplify right side
    8,963.14x = 88,855,052.23
  5. Step 5: Solve for x
    x = 88,855,052.23/8,963.14
  6. Step 6: Final answer
    x = 9,913.38

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Why These Related Problems?

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