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Finding the Fourth Proportional to 9,516.52, 13,133.49 and 5,740.61

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Solution

The fourth proportional to 9,516.52, 13,133.49 and 5,740.61 is: 7,922.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,516.52 : 13,133.49 = 5,740.61 : x
  2. Step 2: Convert to fraction form
    9,516.52/13,133.49 = 5,740.61/x
  3. Step 3: Cross multiply
    9,516.52x = 13,133.49 × 5,740.61
  4. Step 4: Simplify right side
    9,516.52x = 75,394,189.13
  5. Step 5: Solve for x
    x = 75,394,189.13/9,516.52
  6. Step 6: Final answer
    x = 7,922.45

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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.