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Finding the Fourth Proportional to 9,616.56, 13,263.39 and 6,078.48

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Solution

The fourth proportional to 9,616.56, 13,263.39 and 6,078.48 is: 8,383.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,616.56 : 13,263.39 = 6,078.48 : x
  2. Step 2: Convert to fraction form
    9,616.56/13,263.39 = 6,078.48/x
  3. Step 3: Cross multiply
    9,616.56x = 13,263.39 × 6,078.48
  4. Step 4: Simplify right side
    9,616.56x = 80,621,250.85
  5. Step 5: Solve for x
    x = 80,621,250.85/9,616.56
  6. Step 6: Final answer
    x = 8,383.59

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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.