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Finding the Fourth Proportional to 6,314.13, 8,705.40 and 4,321.26

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Solution

The fourth proportional to 6,314.13, 8,705.40 and 4,321.26 is: 5,957.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,314.13 : 8,705.40 = 4,321.26 : x
  2. Step 2: Convert to fraction form
    6,314.13/8,705.40 = 4,321.26/x
  3. Step 3: Cross multiply
    6,314.13x = 8,705.40 × 4,321.26
  4. Step 4: Simplify right side
    6,314.13x = 37,618,296.80
  5. Step 5: Solve for x
    x = 37,618,296.80/6,314.13
  6. Step 6: Final answer
    x = 5,957.80

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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.