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Finding the Fourth Proportional to 6,971.76, 9,620.22 and 3,987.96

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Solution

The fourth proportional to 6,971.76, 9,620.22 and 3,987.96 is: 5,502.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,971.76 : 9,620.22 = 3,987.96 : x
  2. Step 2: Convert to fraction form
    6,971.76/9,620.22 = 3,987.96/x
  3. Step 3: Cross multiply
    6,971.76x = 9,620.22 × 3,987.96
  4. Step 4: Simplify right side
    6,971.76x = 38,365,052.55
  5. Step 5: Solve for x
    x = 38,365,052.55/6,971.76
  6. Step 6: Final answer
    x = 5,502.92

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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.