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Finding the Fourth Proportional to 6,171.83, 9,258.00 and 5,139.11

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Solution

The fourth proportional to 6,171.83, 9,258.00 and 5,139.11 is: 7,708.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,171.83 : 9,258.00 = 5,139.11 : x
  2. Step 2: Convert to fraction form
    6,171.83/9,258.00 = 5,139.11/x
  3. Step 3: Cross multiply
    6,171.83x = 9,258.00 × 5,139.11
  4. Step 4: Simplify right side
    6,171.83x = 47,577,884.25
  5. Step 5: Solve for x
    x = 47,577,884.25/6,171.83
  6. Step 6: Final answer
    x = 7,708.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.