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Finding the Fourth Proportional to 9,284.75, 12,818.78 and 6,451.21

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Solution

The fourth proportional to 9,284.75, 12,818.78 and 6,451.21 is: 8,906.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,284.75 : 12,818.78 = 6,451.21 : x
  2. Step 2: Convert to fraction form
    9,284.75/12,818.78 = 6,451.21/x
  3. Step 3: Cross multiply
    9,284.75x = 12,818.78 × 6,451.21
  4. Step 4: Simplify right side
    9,284.75x = 82,696,641.72
  5. Step 5: Solve for x
    x = 82,696,641.72/9,284.75
  6. Step 6: Final answer
    x = 8,906.72

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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.