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Finding the Fourth Proportional to 6,259.87, 9,385.38 and 3,137.65

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Solution

The fourth proportional to 6,259.87, 9,385.38 and 3,137.65 is: 4,704.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,259.87 : 9,385.38 = 3,137.65 : x
  2. Step 2: Convert to fraction form
    6,259.87/9,385.38 = 3,137.65/x
  3. Step 3: Cross multiply
    6,259.87x = 9,385.38 × 3,137.65
  4. Step 4: Simplify right side
    6,259.87x = 29,448,037.56
  5. Step 5: Solve for x
    x = 29,448,037.56/6,259.87
  6. Step 6: Final answer
    x = 4,704.26

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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.