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Finding the Fourth Proportional to 6,205.77, 9,258.27 and 5,697.72

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Solution

The fourth proportional to 6,205.77, 9,258.27 and 5,697.72 is: 8,500.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,205.77 : 9,258.27 = 5,697.72 : x
  2. Step 2: Convert to fraction form
    6,205.77/9,258.27 = 5,697.72/x
  3. Step 3: Cross multiply
    6,205.77x = 9,258.27 × 5,697.72
  4. Step 4: Simplify right side
    6,205.77x = 52,751,030.14
  5. Step 5: Solve for x
    x = 52,751,030.14/6,205.77
  6. Step 6: Final answer
    x = 8,500.32

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.