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Finding the Fourth Proportional to 9,614.66, 13,253.11 and 6,584.54

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Solution

The fourth proportional to 9,614.66, 13,253.11 and 6,584.54 is: 9,076.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,614.66 : 13,253.11 = 6,584.54 : x
  2. Step 2: Convert to fraction form
    9,614.66/13,253.11 = 6,584.54/x
  3. Step 3: Cross multiply
    9,614.66x = 13,253.11 × 6,584.54
  4. Step 4: Simplify right side
    9,614.66x = 87,265,632.92
  5. Step 5: Solve for x
    x = 87,265,632.92/9,614.66
  6. Step 6: Final answer
    x = 9,076.31

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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.