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Finding the Fourth Proportional to 9,382.24, 14,073.08 and 2,362.24

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Solution

The fourth proportional to 9,382.24, 14,073.08 and 2,362.24 is: 3,543.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,382.24 : 14,073.08 = 2,362.24 : x
  2. Step 2: Convert to fraction form
    9,382.24/14,073.08 = 2,362.24/x
  3. Step 3: Cross multiply
    9,382.24x = 14,073.08 × 2,362.24
  4. Step 4: Simplify right side
    9,382.24x = 33,243,992.50
  5. Step 5: Solve for x
    x = 33,243,992.50/9,382.24
  6. Step 6: Final answer
    x = 3,543.29

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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.