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Finding the Fourth Proportional to 6,434.66, 8,879.68 and 3,782.14

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Solution

The fourth proportional to 6,434.66, 8,879.68 and 3,782.14 is: 5,219.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,434.66 : 8,879.68 = 3,782.14 : x
  2. Step 2: Convert to fraction form
    6,434.66/8,879.68 = 3,782.14/x
  3. Step 3: Cross multiply
    6,434.66x = 8,879.68 × 3,782.14
  4. Step 4: Simplify right side
    6,434.66x = 33,584,192.92
  5. Step 5: Solve for x
    x = 33,584,192.92/6,434.66
  6. Step 6: Final answer
    x = 5,219.26

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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.