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Finding the Fourth Proportional to 7,102.21, 9,801.32 and 3,958.60

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Solution

The fourth proportional to 7,102.21, 9,801.32 and 3,958.60 is: 5,463.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,102.21 : 9,801.32 = 3,958.60 : x
  2. Step 2: Convert to fraction form
    7,102.21/9,801.32 = 3,958.60/x
  3. Step 3: Cross multiply
    7,102.21x = 9,801.32 × 3,958.60
  4. Step 4: Simplify right side
    7,102.21x = 38,799,505.35
  5. Step 5: Solve for x
    x = 38,799,505.35/7,102.21
  6. Step 6: Final answer
    x = 5,463.02

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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.