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Finding the Fourth Proportional to 9,290, 12,821.82 and 5,311.28

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Solution

The fourth proportional to 9,290, 12,821.82 and 5,311.28 is: 7,330.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,290 : 12,821.82 = 5,311.28 : x
  2. Step 2: Convert to fraction form
    9,290/12,821.82 = 5,311.28/x
  3. Step 3: Cross multiply
    9,290x = 12,821.82 × 5,311.28
  4. Step 4: Simplify right side
    9,290x = 68,100,276.13
  5. Step 5: Solve for x
    x = 68,100,276.13/9,290
  6. Step 6: Final answer
    x = 7,330.49

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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.