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Finding the Fourth Proportional to 6,235.92, 9,354.38 and 1,853.38

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Solution

The fourth proportional to 6,235.92, 9,354.38 and 1,853.38 is: 2,780.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,235.92 : 9,354.38 = 1,853.38 : x
  2. Step 2: Convert to fraction form
    6,235.92/9,354.38 = 1,853.38/x
  3. Step 3: Cross multiply
    6,235.92x = 9,354.38 × 1,853.38
  4. Step 4: Simplify right side
    6,235.92x = 17,337,164.77
  5. Step 5: Solve for x
    x = 17,337,164.77/6,235.92
  6. Step 6: Final answer
    x = 2,780.21

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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.