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Finding the Fourth Proportional to 6,858.45, 9,464.70 and 3,714.63

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Solution

The fourth proportional to 6,858.45, 9,464.70 and 3,714.63 is: 5,126.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,858.45 : 9,464.70 = 3,714.63 : x
  2. Step 2: Convert to fraction form
    6,858.45/9,464.70 = 3,714.63/x
  3. Step 3: Cross multiply
    6,858.45x = 9,464.70 × 3,714.63
  4. Step 4: Simplify right side
    6,858.45x = 35,157,887.09
  5. Step 5: Solve for x
    x = 35,157,887.09/6,858.45
  6. Step 6: Final answer
    x = 5,126.22

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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.