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Finding the Fourth Proportional to 6,825.33, 9,419.00 and 4,135.66

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Solution

The fourth proportional to 6,825.33, 9,419.00 and 4,135.66 is: 5,707.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,825.33 : 9,419.00 = 4,135.66 : x
  2. Step 2: Convert to fraction form
    6,825.33/9,419.00 = 4,135.66/x
  3. Step 3: Cross multiply
    6,825.33x = 9,419.00 × 4,135.66
  4. Step 4: Simplify right side
    6,825.33x = 38,953,790.30
  5. Step 5: Solve for x
    x = 38,953,790.30/6,825.33
  6. Step 6: Final answer
    x = 5,707.24

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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.