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Finding the Fourth Proportional to 6,335.84, 9,507.44 and 2,873.44

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Solution

The fourth proportional to 6,335.84, 9,507.44 and 2,873.44 is: 4,311.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,335.84 : 9,507.44 = 2,873.44 : x
  2. Step 2: Convert to fraction form
    6,335.84/9,507.44 = 2,873.44/x
  3. Step 3: Cross multiply
    6,335.84x = 9,507.44 × 2,873.44
  4. Step 4: Simplify right side
    6,335.84x = 27,319,058.39
  5. Step 5: Solve for x
    x = 27,319,058.39/6,335.84
  6. Step 6: Final answer
    x = 4,311.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.