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Finding the Fourth Proportional to 6,464.71, 9,672.63 and 3,833.65

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Solution

The fourth proportional to 6,464.71, 9,672.63 and 3,833.65 is: 5,735.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,464.71 : 9,672.63 = 3,833.65 : x
  2. Step 2: Convert to fraction form
    6,464.71/9,672.63 = 3,833.65/x
  3. Step 3: Cross multiply
    6,464.71x = 9,672.63 × 3,833.65
  4. Step 4: Simplify right side
    6,464.71x = 37,081,478.00
  5. Step 5: Solve for x
    x = 37,081,478.00/6,464.71
  6. Step 6: Final answer
    x = 5,735.98

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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.