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Finding the Fourth Proportional to 6,322.98, 9,476.70 and 4,474.62

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Solution

The fourth proportional to 6,322.98, 9,476.70 and 4,474.62 is: 6,706.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,322.98 : 9,476.70 = 4,474.62 : x
  2. Step 2: Convert to fraction form
    6,322.98/9,476.70 = 4,474.62/x
  3. Step 3: Cross multiply
    6,322.98x = 9,476.70 × 4,474.62
  4. Step 4: Simplify right side
    6,322.98x = 42,404,631.35
  5. Step 5: Solve for x
    x = 42,404,631.35/6,322.98
  6. Step 6: Final answer
    x = 6,706.43

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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.