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Finding the Fourth Proportional to 7,027.29, 9,697.05 and 4,043.25

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Solution

The fourth proportional to 7,027.29, 9,697.05 and 4,043.25 is: 5,579.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,027.29 : 9,697.05 = 4,043.25 : x
  2. Step 2: Convert to fraction form
    7,027.29/9,697.05 = 4,043.25/x
  3. Step 3: Cross multiply
    7,027.29x = 9,697.05 × 4,043.25
  4. Step 4: Simplify right side
    7,027.29x = 39,207,597.41
  5. Step 5: Solve for x
    x = 39,207,597.41/7,027.29
  6. Step 6: Final answer
    x = 5,579.33

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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.