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Finding the Fourth Proportional to 9,478.98, 13,086.54 and 6,296.58

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Solution

The fourth proportional to 9,478.98, 13,086.54 and 6,296.58 is: 8,692.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,478.98 : 13,086.54 = 6,296.58 : x
  2. Step 2: Convert to fraction form
    9,478.98/13,086.54 = 6,296.58/x
  3. Step 3: Cross multiply
    9,478.98x = 13,086.54 × 6,296.58
  4. Step 4: Simplify right side
    9,478.98x = 82,400,446.03
  5. Step 5: Solve for x
    x = 82,400,446.03/9,478.98
  6. Step 6: Final answer
    x = 8,692.97

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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.