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Finding the Fourth Proportional to 6,354.35, 9,529.89 and 2,842.39

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Solution

The fourth proportional to 6,354.35, 9,529.89 and 2,842.39 is: 4,262.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,354.35 : 9,529.89 = 2,842.39 : x
  2. Step 2: Convert to fraction form
    6,354.35/9,529.89 = 2,842.39/x
  3. Step 3: Cross multiply
    6,354.35x = 9,529.89 × 2,842.39
  4. Step 4: Simplify right side
    6,354.35x = 27,087,665.29
  5. Step 5: Solve for x
    x = 27,087,665.29/6,354.35
  6. Step 6: Final answer
    x = 4,262.85

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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.