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Finding the Fourth Proportional to 9,774.15, 13,478.44 and 8,694.02

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Solution

The fourth proportional to 9,774.15, 13,478.44 and 8,694.02 is: 11,988.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,774.15 : 13,478.44 = 8,694.02 : x
  2. Step 2: Convert to fraction form
    9,774.15/13,478.44 = 8,694.02/x
  3. Step 3: Cross multiply
    9,774.15x = 13,478.44 × 8,694.02
  4. Step 4: Simplify right side
    9,774.15x = 117,181,716.07
  5. Step 5: Solve for x
    x = 117,181,716.07/9,774.15
  6. Step 6: Final answer
    x = 11,988.94

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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.