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Finding the Fourth Proportional to 9,814.57, 14,721.51 and 2,794.62

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Solution

The fourth proportional to 9,814.57, 14,721.51 and 2,794.62 is: 4,191.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,814.57 : 14,721.51 = 2,794.62 : x
  2. Step 2: Convert to fraction form
    9,814.57/14,721.51 = 2,794.62/x
  3. Step 3: Cross multiply
    9,814.57x = 14,721.51 × 2,794.62
  4. Step 4: Simplify right side
    9,814.57x = 41,141,026.28
  5. Step 5: Solve for x
    x = 41,141,026.28/9,814.57
  6. Step 6: Final answer
    x = 4,191.83

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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.