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Finding the Fourth Proportional to 6,317.84, 8,714.27 and 3,665.28

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Solution

The fourth proportional to 6,317.84, 8,714.27 and 3,665.28 is: 5,055.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,317.84 : 8,714.27 = 3,665.28 : x
  2. Step 2: Convert to fraction form
    6,317.84/8,714.27 = 3,665.28/x
  3. Step 3: Cross multiply
    6,317.84x = 8,714.27 × 3,665.28
  4. Step 4: Simplify right side
    6,317.84x = 31,940,221.22
  5. Step 5: Solve for x
    x = 31,940,221.22/6,317.84
  6. Step 6: Final answer
    x = 5,055.56

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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.