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Finding the Fourth Proportional to 6,904.64, 10,351.34 and 3,209.20

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Solution

The fourth proportional to 6,904.64, 10,351.34 and 3,209.20 is: 4,811.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,904.64 : 10,351.34 = 3,209.20 : x
  2. Step 2: Convert to fraction form
    6,904.64/10,351.34 = 3,209.20/x
  3. Step 3: Cross multiply
    6,904.64x = 10,351.34 × 3,209.20
  4. Step 4: Simplify right side
    6,904.64x = 33,219,490.44
  5. Step 5: Solve for x
    x = 33,219,490.44/6,904.64
  6. Step 6: Final answer
    x = 4,811.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.