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Finding the Fourth Proportional to 6,258.12, 9,388.73 and 5,149.32

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Solution

The fourth proportional to 6,258.12, 9,388.73 and 5,149.32 is: 7,725.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,258.12 : 9,388.73 = 5,149.32 : x
  2. Step 2: Convert to fraction form
    6,258.12/9,388.73 = 5,149.32/x
  3. Step 3: Cross multiply
    6,258.12x = 9,388.73 × 5,149.32
  4. Step 4: Simplify right side
    6,258.12x = 48,345,575.16
  5. Step 5: Solve for x
    x = 48,345,575.16/6,258.12
  6. Step 6: Final answer
    x = 7,725.26

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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.