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Finding the Fourth Proportional to 6,169.24, 9,254.24 and 1,786.60

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Solution

The fourth proportional to 6,169.24, 9,254.24 and 1,786.60 is: 2,680.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,169.24 : 9,254.24 = 1,786.60 : x
  2. Step 2: Convert to fraction form
    6,169.24/9,254.24 = 1,786.60/x
  3. Step 3: Cross multiply
    6,169.24x = 9,254.24 × 1,786.60
  4. Step 4: Simplify right side
    6,169.24x = 16,533,625.18
  5. Step 5: Solve for x
    x = 16,533,625.18/6,169.24
  6. Step 6: Final answer
    x = 2,680.01

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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.