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Finding the Fourth Proportional to 6,971.36, 9,620.56 and 3,987.16

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Solution

The fourth proportional to 6,971.36, 9,620.56 and 3,987.16 is: 5,502.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,971.36 : 9,620.56 = 3,987.16 : x
  2. Step 2: Convert to fraction form
    6,971.36/9,620.56 = 3,987.16/x
  3. Step 3: Cross multiply
    6,971.36x = 9,620.56 × 3,987.16
  4. Step 4: Simplify right side
    6,971.36x = 38,358,712.01
  5. Step 5: Solve for x
    x = 38,358,712.01/6,971.36
  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.