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Finding the Fourth Proportional to 8,643.47, 12,967.13 and 3,100.85

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Solution

The fourth proportional to 8,643.47, 12,967.13 and 3,100.85 is: 4,651.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,643.47 : 12,967.13 = 3,100.85 : x
  2. Step 2: Convert to fraction form
    8,643.47/12,967.13 = 3,100.85/x
  3. Step 3: Cross multiply
    8,643.47x = 12,967.13 × 3,100.85
  4. Step 4: Simplify right side
    8,643.47x = 40,209,125.06
  5. Step 5: Solve for x
    x = 40,209,125.06/8,643.47
  6. Step 6: Final answer
    x = 4,651.97

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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.