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Finding the Fourth Proportional to 6,267.45, 9,382.71 and 4,631.30

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Solution

The fourth proportional to 6,267.45, 9,382.71 and 4,631.30 is: 6,933.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,267.45 : 9,382.71 = 4,631.30 : x
  2. Step 2: Convert to fraction form
    6,267.45/9,382.71 = 4,631.30/x
  3. Step 3: Cross multiply
    6,267.45x = 9,382.71 × 4,631.30
  4. Step 4: Simplify right side
    6,267.45x = 43,454,097.91
  5. Step 5: Solve for x
    x = 43,454,097.91/6,267.45
  6. Step 6: Final answer
    x = 6,933.30

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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.