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Finding the Fourth Proportional to 6,852.97, 9,457.14 and 4,022.02

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Solution

The fourth proportional to 6,852.97, 9,457.14 and 4,022.02 is: 5,550.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,852.97 : 9,457.14 = 4,022.02 : x
  2. Step 2: Convert to fraction form
    6,852.97/9,457.14 = 4,022.02/x
  3. Step 3: Cross multiply
    6,852.97x = 9,457.14 × 4,022.02
  4. Step 4: Simplify right side
    6,852.97x = 38,036,806.22
  5. Step 5: Solve for x
    x = 38,036,806.22/6,852.97
  6. Step 6: Final answer
    x = 5,550.41

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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.