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Finding the Fourth Proportional to 9,326.50, 13,987.60 and 2,662.87

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Solution

The fourth proportional to 9,326.50, 13,987.60 and 2,662.87 is: 3,993.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,326.50 : 13,987.60 = 2,662.87 : x
  2. Step 2: Convert to fraction form
    9,326.50/13,987.60 = 2,662.87/x
  3. Step 3: Cross multiply
    9,326.50x = 13,987.60 × 2,662.87
  4. Step 4: Simplify right side
    9,326.50x = 37,247,160.41
  5. Step 5: Solve for x
    x = 37,247,160.41/9,326.50
  6. Step 6: Final answer
    x = 3,993.69

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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.