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Finding the Fourth Proportional to 6,137.36, 8,467.46 and 3,746.69

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Solution

The fourth proportional to 6,137.36, 8,467.46 and 3,746.69 is: 5,169.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,137.36 : 8,467.46 = 3,746.69 : x
  2. Step 2: Convert to fraction form
    6,137.36/8,467.46 = 3,746.69/x
  3. Step 3: Cross multiply
    6,137.36x = 8,467.46 × 3,746.69
  4. Step 4: Simplify right side
    6,137.36x = 31,724,947.71
  5. Step 5: Solve for x
    x = 31,724,947.71/6,137.36
  6. Step 6: Final answer
    x = 5,169.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.