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Finding the Fourth Proportional to 7,111.88, 9,814.39 and 3,968.06

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Solution

The fourth proportional to 7,111.88, 9,814.39 and 3,968.06 is: 5,475.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,111.88 : 9,814.39 = 3,968.06 : x
  2. Step 2: Convert to fraction form
    7,111.88/9,814.39 = 3,968.06/x
  3. Step 3: Cross multiply
    7,111.88x = 9,814.39 × 3,968.06
  4. Step 4: Simplify right side
    7,111.88x = 38,944,103.00
  5. Step 5: Solve for x
    x = 38,944,103.00/7,111.88
  6. Step 6: Final answer
    x = 5,475.93

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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.