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Finding the Fourth Proportional to 9,659.33, 14,465.37 and 8,724.38

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Solution

The fourth proportional to 9,659.33, 14,465.37 and 8,724.38 is: 13,065.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,659.33 : 14,465.37 = 8,724.38 : x
  2. Step 2: Convert to fraction form
    9,659.33/14,465.37 = 8,724.38/x
  3. Step 3: Cross multiply
    9,659.33x = 14,465.37 × 8,724.38
  4. Step 4: Simplify right side
    9,659.33x = 126,201,384.72
  5. Step 5: Solve for x
    x = 126,201,384.72/9,659.33
  6. Step 6: Final answer
    x = 13,065.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.