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Finding the Fourth Proportional to 6,411.71, 9,617.52 and 3,879.31

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Solution

The fourth proportional to 6,411.71, 9,617.52 and 3,879.31 is: 5,818.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,411.71 : 9,617.52 = 3,879.31 : x
  2. Step 2: Convert to fraction form
    6,411.71/9,617.52 = 3,879.31/x
  3. Step 3: Cross multiply
    6,411.71x = 9,617.52 × 3,879.31
  4. Step 4: Simplify right side
    6,411.71x = 37,309,341.51
  5. Step 5: Solve for x
    x = 37,309,341.51/6,411.71
  6. Step 6: Final answer
    x = 5,818.94

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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.