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Finding the Fourth Proportional to 8,486, 12,733.08 and 6,418.64

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Solution

The fourth proportional to 8,486, 12,733.08 and 6,418.64 is: 9,631.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,486 : 12,733.08 = 6,418.64 : x
  2. Step 2: Convert to fraction form
    8,486/12,733.08 = 6,418.64/x
  3. Step 3: Cross multiply
    8,486x = 12,733.08 × 6,418.64
  4. Step 4: Simplify right side
    8,486x = 81,729,056.61
  5. Step 5: Solve for x
    x = 81,729,056.61/8,486
  6. Step 6: Final answer
    x = 9,631.05

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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.