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Finding the Fourth Proportional to 6,858.49, 9,464.75 and 3,714.69

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Solution

The fourth proportional to 6,858.49, 9,464.75 and 3,714.69 is: 5,126.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,858.49 : 9,464.75 = 3,714.69 : x
  2. Step 2: Convert to fraction form
    6,858.49/9,464.75 = 3,714.69/x
  3. Step 3: Cross multiply
    6,858.49x = 9,464.75 × 3,714.69
  4. Step 4: Simplify right side
    6,858.49x = 35,158,612.18
  5. Step 5: Solve for x
    x = 35,158,612.18/6,858.49
  6. Step 6: Final answer
    x = 5,126.29

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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.