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Finding the Fourth Proportional to 6,319.72, 9,476.70 and 3,243.88

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Solution

The fourth proportional to 6,319.72, 9,476.70 and 3,243.88 is: 4,864.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,319.72 : 9,476.70 = 3,243.88 : x
  2. Step 2: Convert to fraction form
    6,319.72/9,476.70 = 3,243.88/x
  3. Step 3: Cross multiply
    6,319.72x = 9,476.70 × 3,243.88
  4. Step 4: Simplify right side
    6,319.72x = 30,741,277.60
  5. Step 5: Solve for x
    x = 30,741,277.60/6,319.72
  6. Step 6: Final answer
    x = 4,864.34

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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.