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Finding the Fourth Proportional to 9,168.24, 12,652.56 and 6,027.60

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Solution

The fourth proportional to 9,168.24, 12,652.56 and 6,027.60 is: 8,318.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,168.24 : 12,652.56 = 6,027.60 : x
  2. Step 2: Convert to fraction form
    9,168.24/12,652.56 = 6,027.60/x
  3. Step 3: Cross multiply
    9,168.24x = 12,652.56 × 6,027.60
  4. Step 4: Simplify right side
    9,168.24x = 76,264,570.66
  5. Step 5: Solve for x
    x = 76,264,570.66/9,168.24
  6. Step 6: Final answer
    x = 8,318.34

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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.