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Finding the Fourth Proportional to 6,292.46, 9,435.45 and 2,342.09

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Solution

The fourth proportional to 6,292.46, 9,435.45 and 2,342.09 is: 3,511.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,292.46 : 9,435.45 = 2,342.09 : x
  2. Step 2: Convert to fraction form
    6,292.46/9,435.45 = 2,342.09/x
  3. Step 3: Cross multiply
    6,292.46x = 9,435.45 × 2,342.09
  4. Step 4: Simplify right side
    6,292.46x = 22,098,673.09
  5. Step 5: Solve for x
    x = 22,098,673.09/6,292.46
  6. Step 6: Final answer
    x = 3,511.93

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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.