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Finding the Fourth Proportional to 9,647.94, 13,314.78 and 5,399.49

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Solution

The fourth proportional to 9,647.94, 13,314.78 and 5,399.49 is: 7,451.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,647.94 : 13,314.78 = 5,399.49 : x
  2. Step 2: Convert to fraction form
    9,647.94/13,314.78 = 5,399.49/x
  3. Step 3: Cross multiply
    9,647.94x = 13,314.78 × 5,399.49
  4. Step 4: Simplify right side
    9,647.94x = 71,893,071.39
  5. Step 5: Solve for x
    x = 71,893,071.39/9,647.94
  6. Step 6: Final answer
    x = 7,451.65

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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.