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Finding the Fourth Proportional to 6,971.28, 9,620.16 and 3,987.36

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Solution

The fourth proportional to 6,971.28, 9,620.16 and 3,987.36 is: 5,502.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,971.28 : 9,620.16 = 3,987.36 : x
  2. Step 2: Convert to fraction form
    6,971.28/9,620.16 = 3,987.36/x
  3. Step 3: Cross multiply
    6,971.28x = 9,620.16 × 3,987.36
  4. Step 4: Simplify right side
    6,971.28x = 38,359,041.18
  5. Step 5: Solve for x
    x = 38,359,041.18/6,971.28
  6. Step 6: Final answer
    x = 5,502.44

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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.