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Finding the Fourth Proportional to 9,612.14, 13,266.09 and 5,634.86

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Solution

The fourth proportional to 9,612.14, 13,266.09 and 5,634.86 is: 7,776.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,612.14 : 13,266.09 = 5,634.86 : x
  2. Step 2: Convert to fraction form
    9,612.14/13,266.09 = 5,634.86/x
  3. Step 3: Cross multiply
    9,612.14x = 13,266.09 × 5,634.86
  4. Step 4: Simplify right side
    9,612.14x = 74,752,493.57
  5. Step 5: Solve for x
    x = 74,752,493.57/9,612.14
  6. Step 6: Final answer
    x = 7,776.89

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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.