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Finding the Fourth Proportional to 7,094.43, 9,789.90 and 5,213.91

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Solution

The fourth proportional to 7,094.43, 9,789.90 and 5,213.91 is: 7,194.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,094.43 : 9,789.90 = 5,213.91 : x
  2. Step 2: Convert to fraction form
    7,094.43/9,789.90 = 5,213.91/x
  3. Step 3: Cross multiply
    7,094.43x = 9,789.90 × 5,213.91
  4. Step 4: Simplify right side
    7,094.43x = 51,043,657.51
  5. Step 5: Solve for x
    x = 51,043,657.51/7,094.43
  6. Step 6: Final answer
    x = 7,194.89

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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.