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Finding the Fourth Proportional to 6,851.82, 9,455.54 and 3,708.01

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Solution

The fourth proportional to 6,851.82, 9,455.54 and 3,708.01 is: 5,117.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,851.82 : 9,455.54 = 3,708.01 : x
  2. Step 2: Convert to fraction form
    6,851.82/9,455.54 = 3,708.01/x
  3. Step 3: Cross multiply
    6,851.82x = 9,455.54 × 3,708.01
  4. Step 4: Simplify right side
    6,851.82x = 35,061,257.96
  5. Step 5: Solve for x
    x = 35,061,257.96/6,851.82
  6. Step 6: Final answer
    x = 5,117.07

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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.