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Finding the Fourth Proportional to 7,101.89, 9,800.94 and 3,958.10

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Solution

The fourth proportional to 7,101.89, 9,800.94 and 3,958.10 is: 5,462.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,101.89 : 9,800.94 = 3,958.10 : x
  2. Step 2: Convert to fraction form
    7,101.89/9,800.94 = 3,958.10/x
  3. Step 3: Cross multiply
    7,101.89x = 9,800.94 × 3,958.10
  4. Step 4: Simplify right side
    7,101.89x = 38,793,031.82
  5. Step 5: Solve for x
    x = 38,793,031.82/7,101.89
  6. Step 6: Final answer
    x = 5,462.36

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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.