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Finding the Fourth Proportional to 9,566.64, 13,198.68 and 6,213.65

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Solution

The fourth proportional to 9,566.64, 13,198.68 and 6,213.65 is: 8,572.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,566.64 : 13,198.68 = 6,213.65 : x
  2. Step 2: Convert to fraction form
    9,566.64/13,198.68 = 6,213.65/x
  3. Step 3: Cross multiply
    9,566.64x = 13,198.68 × 6,213.65
  4. Step 4: Simplify right side
    9,566.64x = 82,011,911.99
  5. Step 5: Solve for x
    x = 82,011,911.99/9,566.64
  6. Step 6: Final answer
    x = 8,572.70

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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.