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Finding the Fourth Proportional to 8,013.94, 12,013.62 and 5,931.43

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Solution

The fourth proportional to 8,013.94, 12,013.62 and 5,931.43 is: 8,891.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,013.94 : 12,013.62 = 5,931.43 : x
  2. Step 2: Convert to fraction form
    8,013.94/12,013.62 = 5,931.43/x
  3. Step 3: Cross multiply
    8,013.94x = 12,013.62 × 5,931.43
  4. Step 4: Simplify right side
    8,013.94x = 71,257,946.08
  5. Step 5: Solve for x
    x = 71,257,946.08/8,013.94
  6. Step 6: Final answer
    x = 8,891.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.