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Finding the Fourth Proportional to 9,505.92, 14,259.80 and 2,485.90

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Solution

The fourth proportional to 9,505.92, 14,259.80 and 2,485.90 is: 3,729.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,505.92 : 14,259.80 = 2,485.90 : x
  2. Step 2: Convert to fraction form
    9,505.92/14,259.80 = 2,485.90/x
  3. Step 3: Cross multiply
    9,505.92x = 14,259.80 × 2,485.90
  4. Step 4: Simplify right side
    9,505.92x = 35,448,407.39
  5. Step 5: Solve for x
    x = 35,448,407.39/9,505.92
  6. Step 6: Final answer
    x = 3,729.09

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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.