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Finding the Fourth Proportional to 7,141.35, 9,842.07 and 5,874.31

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Solution

The fourth proportional to 7,141.35, 9,842.07 and 5,874.31 is: 8,095.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,141.35 : 9,842.07 = 5,874.31 : x
  2. Step 2: Convert to fraction form
    7,141.35/9,842.07 = 5,874.31/x
  3. Step 3: Cross multiply
    7,141.35x = 9,842.07 × 5,874.31
  4. Step 4: Simplify right side
    7,141.35x = 57,815,370.22
  5. Step 5: Solve for x
    x = 57,815,370.22/7,141.35
  6. Step 6: Final answer
    x = 8,095.86

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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.