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Finding the Fourth Proportional to 9,287.75, 13,932.95 and 3,048.25

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Solution

The fourth proportional to 9,287.75, 13,932.95 and 3,048.25 is: 4,572.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,287.75 : 13,932.95 = 3,048.25 : x
  2. Step 2: Convert to fraction form
    9,287.75/13,932.95 = 3,048.25/x
  3. Step 3: Cross multiply
    9,287.75x = 13,932.95 × 3,048.25
  4. Step 4: Simplify right side
    9,287.75x = 42,471,114.84
  5. Step 5: Solve for x
    x = 42,471,114.84/9,287.75
  6. Step 6: Final answer
    x = 4,572.81

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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.