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Finding the Fourth Proportional to 9,659.82, 13,332.51 and 5,469.42

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Solution

The fourth proportional to 9,659.82, 13,332.51 and 5,469.42 is: 7,548.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,659.82 : 13,332.51 = 5,469.42 : x
  2. Step 2: Convert to fraction form
    9,659.82/13,332.51 = 5,469.42/x
  3. Step 3: Cross multiply
    9,659.82x = 13,332.51 × 5,469.42
  4. Step 4: Simplify right side
    9,659.82x = 72,921,096.84
  5. Step 5: Solve for x
    x = 72,921,096.84/9,659.82
  6. Step 6: Final answer
    x = 7,548.91

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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.