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Finding the Fourth Proportional to 9,814.93, 14,722.48 and 2,794.93

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Solution

The fourth proportional to 9,814.93, 14,722.48 and 2,794.93 is: 4,192.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,814.93 : 14,722.48 = 2,794.93 : x
  2. Step 2: Convert to fraction form
    9,814.93/14,722.48 = 2,794.93/x
  3. Step 3: Cross multiply
    9,814.93x = 14,722.48 × 2,794.93
  4. Step 4: Simplify right side
    9,814.93x = 41,148,355.51
  5. Step 5: Solve for x
    x = 41,148,355.51/9,814.93
  6. Step 6: Final answer
    x = 4,192.43

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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.