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Finding the Fourth Proportional to 6,971.52, 9,620.75 and 3,987.17

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Solution

The fourth proportional to 6,971.52, 9,620.75 and 3,987.17 is: 5,502.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,971.52 : 9,620.75 = 3,987.17 : x
  2. Step 2: Convert to fraction form
    6,971.52/9,620.75 = 3,987.17/x
  3. Step 3: Cross multiply
    6,971.52x = 9,620.75 × 3,987.17
  4. Step 4: Simplify right side
    6,971.52x = 38,359,606.62
  5. Step 5: Solve for x
    x = 38,359,606.62/6,971.52
  6. Step 6: Final answer
    x = 5,502.33

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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.