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Finding the Fourth Proportional to 9,894.20, 14,842.07 and 2,874.33

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Solution

The fourth proportional to 9,894.20, 14,842.07 and 2,874.33 is: 4,311.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,894.20 : 14,842.07 = 2,874.33 : x
  2. Step 2: Convert to fraction form
    9,894.20/14,842.07 = 2,874.33/x
  3. Step 3: Cross multiply
    9,894.20x = 14,842.07 × 2,874.33
  4. Step 4: Simplify right side
    9,894.20x = 42,660,925.67
  5. Step 5: Solve for x
    x = 42,660,925.67/9,894.20
  6. Step 6: Final answer
    x = 4,311.71

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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.