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Finding the Fourth Proportional to 6,175.20, 9,258.71 and 3,403.20

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Solution

The fourth proportional to 6,175.20, 9,258.71 and 3,403.20 is: 5,102.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,175.20 : 9,258.71 = 3,403.20 : x
  2. Step 2: Convert to fraction form
    6,175.20/9,258.71 = 3,403.20/x
  3. Step 3: Cross multiply
    6,175.20x = 9,258.71 × 3,403.20
  4. Step 4: Simplify right side
    6,175.20x = 31,509,224.86
  5. Step 5: Solve for x
    x = 31,509,224.86/6,175.20
  6. Step 6: Final answer
    x = 5,102.54

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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.