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Finding the Fourth Proportional to 7,094.08, 9,789.80 and 3,950.26

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Solution

The fourth proportional to 7,094.08, 9,789.80 and 3,950.26 is: 5,451.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,094.08 : 9,789.80 = 3,950.26 : x
  2. Step 2: Convert to fraction form
    7,094.08/9,789.80 = 3,950.26/x
  3. Step 3: Cross multiply
    7,094.08x = 9,789.80 × 3,950.26
  4. Step 4: Simplify right side
    7,094.08x = 38,672,255.35
  5. Step 5: Solve for x
    x = 38,672,255.35/7,094.08
  6. Step 6: Final answer
    x = 5,451.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.