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Finding the Fourth Proportional to 6,314.90, 8,714.57 and 3,662.51

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Solution

The fourth proportional to 6,314.90, 8,714.57 and 3,662.51 is: 5,054.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,314.90 : 8,714.57 = 3,662.51 : x
  2. Step 2: Convert to fraction form
    6,314.90/8,714.57 = 3,662.51/x
  3. Step 3: Cross multiply
    6,314.90x = 8,714.57 × 3,662.51
  4. Step 4: Simplify right side
    6,314.90x = 31,917,137.89
  5. Step 5: Solve for x
    x = 31,917,137.89/6,314.90
  6. Step 6: Final answer
    x = 5,054.26

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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.