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Finding the Fourth Proportional to 6,322.57, 9,476.17 and 4,474.23

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Solution

The fourth proportional to 6,322.57, 9,476.17 and 4,474.23 is: 6,705.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,322.57 : 9,476.17 = 4,474.23 : x
  2. Step 2: Convert to fraction form
    6,322.57/9,476.17 = 4,474.23/x
  3. Step 3: Cross multiply
    6,322.57x = 9,476.17 × 4,474.23
  4. Step 4: Simplify right side
    6,322.57x = 42,398,564.10
  5. Step 5: Solve for x
    x = 42,398,564.10/6,322.57
  6. Step 6: Final answer
    x = 6,705.91

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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.