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Finding the Fourth Proportional to 9,253.04, 13,879.44 and 2,233.00

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Solution

The fourth proportional to 9,253.04, 13,879.44 and 2,233.00 is: 3,349.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,253.04 : 13,879.44 = 2,233.00 : x
  2. Step 2: Convert to fraction form
    9,253.04/13,879.44 = 2,233.00/x
  3. Step 3: Cross multiply
    9,253.04x = 13,879.44 × 2,233.00
  4. Step 4: Simplify right side
    9,253.04x = 30,992,754.82
  5. Step 5: Solve for x
    x = 30,992,754.82/9,253.04
  6. Step 6: Final answer
    x = 3,349.47

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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.