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Finding the Fourth Proportional to 6,264.74, 9,386.85 and 3,800.36

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Solution

The fourth proportional to 6,264.74, 9,386.85 and 3,800.36 is: 5,694.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,264.74 : 9,386.85 = 3,800.36 : x
  2. Step 2: Convert to fraction form
    6,264.74/9,386.85 = 3,800.36/x
  3. Step 3: Cross multiply
    6,264.74x = 9,386.85 × 3,800.36
  4. Step 4: Simplify right side
    6,264.74x = 35,673,409.27
  5. Step 5: Solve for x
    x = 35,673,409.27/6,264.74
  6. Step 6: Final answer
    x = 5,694.32

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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.