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Finding the Fourth Proportional to 7,102.92, 9,805.02 and 4,449.72

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Solution

The fourth proportional to 7,102.92, 9,805.02 and 4,449.72 is: 6,142.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,102.92 : 9,805.02 = 4,449.72 : x
  2. Step 2: Convert to fraction form
    7,102.92/9,805.02 = 4,449.72/x
  3. Step 3: Cross multiply
    7,102.92x = 9,805.02 × 4,449.72
  4. Step 4: Simplify right side
    7,102.92x = 43,629,593.59
  5. Step 5: Solve for x
    x = 43,629,593.59/7,102.92
  6. Step 6: Final answer
    x = 6,142.49

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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.