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Finding the Fourth Proportional to 6,474.72, 9,713.68 and 4,621.28

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Solution

The fourth proportional to 6,474.72, 9,713.68 and 4,621.28 is: 6,933.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,474.72 : 9,713.68 = 4,621.28 : x
  2. Step 2: Convert to fraction form
    6,474.72/9,713.68 = 4,621.28/x
  3. Step 3: Cross multiply
    6,474.72x = 9,713.68 × 4,621.28
  4. Step 4: Simplify right side
    6,474.72x = 44,889,635.11
  5. Step 5: Solve for x
    x = 44,889,635.11/6,474.72
  6. Step 6: Final answer
    x = 6,933.06

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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.