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Finding the Fourth Proportional to 6,832.84, 9,425.54 and 4,142.30

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Solution

The fourth proportional to 6,832.84, 9,425.54 and 4,142.30 is: 5,714.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,832.84 : 9,425.54 = 4,142.30 : x
  2. Step 2: Convert to fraction form
    6,832.84/9,425.54 = 4,142.30/x
  3. Step 3: Cross multiply
    6,832.84x = 9,425.54 × 4,142.30
  4. Step 4: Simplify right side
    6,832.84x = 39,043,414.34
  5. Step 5: Solve for x
    x = 39,043,414.34/6,832.84
  6. Step 6: Final answer
    x = 5,714.08

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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.