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Finding the Fourth Proportional to 6,627.66, 9,142.37 and 4,139.34

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Solution

The fourth proportional to 6,627.66, 9,142.37 and 4,139.34 is: 5,709.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,627.66 : 9,142.37 = 4,139.34 : x
  2. Step 2: Convert to fraction form
    6,627.66/9,142.37 = 4,139.34/x
  3. Step 3: Cross multiply
    6,627.66x = 9,142.37 × 4,139.34
  4. Step 4: Simplify right side
    6,627.66x = 37,843,357.14
  5. Step 5: Solve for x
    x = 37,843,357.14/6,627.66
  6. Step 6: Final answer
    x = 5,709.91

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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.