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Finding the Fourth Proportional to 6,239.76, 9,356.51 and 2,078.31

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Solution

The fourth proportional to 6,239.76, 9,356.51 and 2,078.31 is: 3,116.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,239.76 : 9,356.51 = 2,078.31 : x
  2. Step 2: Convert to fraction form
    6,239.76/9,356.51 = 2,078.31/x
  3. Step 3: Cross multiply
    6,239.76x = 9,356.51 × 2,078.31
  4. Step 4: Simplify right side
    6,239.76x = 19,445,717.91
  5. Step 5: Solve for x
    x = 19,445,717.91/6,239.76
  6. Step 6: Final answer
    x = 3,116.42

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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.