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Finding the Fourth Proportional to 9,164.87, 13,748.30 and 2,923.41

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Solution

The fourth proportional to 9,164.87, 13,748.30 and 2,923.41 is: 4,385.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,164.87 : 13,748.30 = 2,923.41 : x
  2. Step 2: Convert to fraction form
    9,164.87/13,748.30 = 2,923.41/x
  3. Step 3: Cross multiply
    9,164.87x = 13,748.30 × 2,923.41
  4. Step 4: Simplify right side
    9,164.87x = 40,191,903.09
  5. Step 5: Solve for x
    x = 40,191,903.09/9,164.87
  6. Step 6: Final answer
    x = 4,385.43

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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.