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Finding the Fourth Proportional to 9,608.35, 13,267.79 and 6,077.83

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Solution

The fourth proportional to 9,608.35, 13,267.79 and 6,077.83 is: 8,392.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,608.35 : 13,267.79 = 6,077.83 : x
  2. Step 2: Convert to fraction form
    9,608.35/13,267.79 = 6,077.83/x
  3. Step 3: Cross multiply
    9,608.35x = 13,267.79 × 6,077.83
  4. Step 4: Simplify right side
    9,608.35x = 80,639,372.10
  5. Step 5: Solve for x
    x = 80,639,372.10/9,608.35
  6. Step 6: Final answer
    x = 8,392.63

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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.