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Finding the Fourth Proportional to 9,821.39, 14,690.81 and 8,279.43

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Solution

The fourth proportional to 9,821.39, 14,690.81 and 8,279.43 is: 12,384.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,821.39 : 14,690.81 = 8,279.43 : x
  2. Step 2: Convert to fraction form
    9,821.39/14,690.81 = 8,279.43/x
  3. Step 3: Cross multiply
    9,821.39x = 14,690.81 × 8,279.43
  4. Step 4: Simplify right side
    9,821.39x = 121,631,491.64
  5. Step 5: Solve for x
    x = 121,631,491.64/9,821.39
  6. Step 6: Final answer
    x = 12,384.34

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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.