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Finding the Fourth Proportional to 6,322.46, 9,484.91 and 2,426.55

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Solution

The fourth proportional to 6,322.46, 9,484.91 and 2,426.55 is: 3,640.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,322.46 : 9,484.91 = 2,426.55 : x
  2. Step 2: Convert to fraction form
    6,322.46/9,484.91 = 2,426.55/x
  3. Step 3: Cross multiply
    6,322.46x = 9,484.91 × 2,426.55
  4. Step 4: Simplify right side
    6,322.46x = 23,015,596.23
  5. Step 5: Solve for x
    x = 23,015,596.23/6,322.46
  6. Step 6: Final answer
    x = 3,640.29

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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.