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Finding the Fourth Proportional to 6,851.94, 9,455.69 and 3,708.12

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Solution

The fourth proportional to 6,851.94, 9,455.69 and 3,708.12 is: 5,117.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,851.94 : 9,455.69 = 3,708.12 : x
  2. Step 2: Convert to fraction form
    6,851.94/9,455.69 = 3,708.12/x
  3. Step 3: Cross multiply
    6,851.94x = 9,455.69 × 3,708.12
  4. Step 4: Simplify right side
    6,851.94x = 35,062,833.20
  5. Step 5: Solve for x
    x = 35,062,833.20/6,851.94
  6. Step 6: Final answer
    x = 5,117.21

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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.