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Finding the Fourth Proportional to 9,219.03, 12,715.38 and 7,225.62

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Solution

The fourth proportional to 9,219.03, 12,715.38 and 7,225.62 is: 9,965.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,219.03 : 12,715.38 = 7,225.62 : x
  2. Step 2: Convert to fraction form
    9,219.03/12,715.38 = 7,225.62/x
  3. Step 3: Cross multiply
    9,219.03x = 12,715.38 × 7,225.62
  4. Step 4: Simplify right side
    9,219.03x = 91,876,504.04
  5. Step 5: Solve for x
    x = 91,876,504.04/9,219.03
  6. Step 6: Final answer
    x = 9,965.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.