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Finding the Fourth Proportional to 9,612.27, 13,266.27 and 5,634.68

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Solution

The fourth proportional to 9,612.27, 13,266.27 and 5,634.68 is: 7,776.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,612.27 : 13,266.27 = 5,634.68 : x
  2. Step 2: Convert to fraction form
    9,612.27/13,266.27 = 5,634.68/x
  3. Step 3: Cross multiply
    9,612.27x = 13,266.27 × 5,634.68
  4. Step 4: Simplify right side
    9,612.27x = 74,751,119.91
  5. Step 5: Solve for x
    x = 74,751,119.91/9,612.27
  6. Step 6: Final answer
    x = 7,776.64

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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.