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Finding the Fourth Proportional to 9,485.91, 14,229.56 and 3,642.52

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Solution

The fourth proportional to 9,485.91, 14,229.56 and 3,642.52 is: 5,464.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,485.91 : 14,229.56 = 3,642.52 : x
  2. Step 2: Convert to fraction form
    9,485.91/14,229.56 = 3,642.52/x
  3. Step 3: Cross multiply
    9,485.91x = 14,229.56 × 3,642.52
  4. Step 4: Simplify right side
    9,485.91x = 51,831,456.89
  5. Step 5: Solve for x
    x = 51,831,456.89/9,485.91
  6. Step 6: Final answer
    x = 5,464.05

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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.