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Finding the Fourth Proportional to 9,022.05, 12,446.06 and 6,363.63

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Solution

The fourth proportional to 9,022.05, 12,446.06 and 6,363.63 is: 8,778.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,022.05 : 12,446.06 = 6,363.63 : x
  2. Step 2: Convert to fraction form
    9,022.05/12,446.06 = 6,363.63/x
  3. Step 3: Cross multiply
    9,022.05x = 12,446.06 × 6,363.63
  4. Step 4: Simplify right side
    9,022.05x = 79,202,088.98
  5. Step 5: Solve for x
    x = 79,202,088.98/9,022.05
  6. Step 6: Final answer
    x = 8,778.72

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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.