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Finding the Fourth Proportional to 6,314.18, 8,715.48 and 3,662.24

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Solution

The fourth proportional to 6,314.18, 8,715.48 and 3,662.24 is: 5,055.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,314.18 : 8,715.48 = 3,662.24 : x
  2. Step 2: Convert to fraction form
    6,314.18/8,715.48 = 3,662.24/x
  3. Step 3: Cross multiply
    6,314.18x = 8,715.48 × 3,662.24
  4. Step 4: Simplify right side
    6,314.18x = 31,918,179.48
  5. Step 5: Solve for x
    x = 31,918,179.48/6,314.18
  6. Step 6: Final answer
    x = 5,055.00

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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.