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Finding the Fourth Proportional to 6,259.50, 9,370.53 and 3,786.84

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Solution

The fourth proportional to 6,259.50, 9,370.53 and 3,786.84 is: 5,668.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,259.50 : 9,370.53 = 3,786.84 : x
  2. Step 2: Convert to fraction form
    6,259.50/9,370.53 = 3,786.84/x
  3. Step 3: Cross multiply
    6,259.50x = 9,370.53 × 3,786.84
  4. Step 4: Simplify right side
    6,259.50x = 35,484,697.83
  5. Step 5: Solve for x
    x = 35,484,697.83/6,259.50
  6. Step 6: Final answer
    x = 5,668.93

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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.