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Finding the Fourth Proportional to 7,111.97, 9,814.52 and 3,968.16

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Solution

The fourth proportional to 7,111.97, 9,814.52 and 3,968.16 is: 5,476.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,111.97 : 9,814.52 = 3,968.16 : x
  2. Step 2: Convert to fraction form
    7,111.97/9,814.52 = 3,968.16/x
  3. Step 3: Cross multiply
    7,111.97x = 9,814.52 × 3,968.16
  4. Step 4: Simplify right side
    7,111.97x = 38,945,595.60
  5. Step 5: Solve for x
    x = 38,945,595.60/7,111.97
  6. Step 6: Final answer
    x = 5,476.06

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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.