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Finding the Fourth Proportional to 6,267.47, 8,649.21 and 3,434.65

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Solution

The fourth proportional to 6,267.47, 8,649.21 and 3,434.65 is: 4,739.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,267.47 : 8,649.21 = 3,434.65 : x
  2. Step 2: Convert to fraction form
    6,267.47/8,649.21 = 3,434.65/x
  3. Step 3: Cross multiply
    6,267.47x = 8,649.21 × 3,434.65
  4. Step 4: Simplify right side
    6,267.47x = 29,707,009.13
  5. Step 5: Solve for x
    x = 29,707,009.13/6,267.47
  6. Step 6: Final answer
    x = 4,739.88

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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.