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Finding the Fourth Proportional to 6,309.21, 8,710.31 and 4,187.61

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Solution

The fourth proportional to 6,309.21, 8,710.31 and 4,187.61 is: 5,781.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,309.21 : 8,710.31 = 4,187.61 : x
  2. Step 2: Convert to fraction form
    6,309.21/8,710.31 = 4,187.61/x
  3. Step 3: Cross multiply
    6,309.21x = 8,710.31 × 4,187.61
  4. Step 4: Simplify right side
    6,309.21x = 36,475,381.26
  5. Step 5: Solve for x
    x = 36,475,381.26/6,309.21
  6. Step 6: Final answer
    x = 5,781.29

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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.