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Finding the Fourth Proportional to 9,478.44, 13,086.36 and 6,493.32

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Solution

The fourth proportional to 9,478.44, 13,086.36 and 6,493.32 is: 8,964.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,478.44 : 13,086.36 = 6,493.32 : x
  2. Step 2: Convert to fraction form
    9,478.44/13,086.36 = 6,493.32/x
  3. Step 3: Cross multiply
    9,478.44x = 13,086.36 × 6,493.32
  4. Step 4: Simplify right side
    9,478.44x = 84,973,923.12
  5. Step 5: Solve for x
    x = 84,973,923.12/9,478.44
  6. Step 6: Final answer
    x = 8,964.97

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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.