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Finding the Fourth Proportional to 9,521.64, 13,134.24 and 5,542.20

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Solution

The fourth proportional to 9,521.64, 13,134.24 and 5,542.20 is: 7,644.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,521.64 : 13,134.24 = 5,542.20 : x
  2. Step 2: Convert to fraction form
    9,521.64/13,134.24 = 5,542.20/x
  3. Step 3: Cross multiply
    9,521.64x = 13,134.24 × 5,542.20
  4. Step 4: Simplify right side
    9,521.64x = 72,792,584.93
  5. Step 5: Solve for x
    x = 72,792,584.93/9,521.64
  6. Step 6: Final answer
    x = 7,644.96

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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.