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Finding the Fourth Proportional to 6,259.35, 9,378.49 and 3,786.65

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Solution

The fourth proportional to 6,259.35, 9,378.49 and 3,786.65 is: 5,673.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,259.35 : 9,378.49 = 3,786.65 : x
  2. Step 2: Convert to fraction form
    6,259.35/9,378.49 = 3,786.65/x
  3. Step 3: Cross multiply
    6,259.35x = 9,378.49 × 3,786.65
  4. Step 4: Simplify right side
    6,259.35x = 35,513,059.16
  5. Step 5: Solve for x
    x = 35,513,059.16/6,259.35
  6. Step 6: Final answer
    x = 5,673.60

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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.