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Finding the Fourth Proportional to 9,230.76, 13,846.01 and 2,990.97

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Solution

The fourth proportional to 9,230.76, 13,846.01 and 2,990.97 is: 4,486.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,230.76 : 13,846.01 = 2,990.97 : x
  2. Step 2: Convert to fraction form
    9,230.76/13,846.01 = 2,990.97/x
  3. Step 3: Cross multiply
    9,230.76x = 13,846.01 × 2,990.97
  4. Step 4: Simplify right side
    9,230.76x = 41,412,985.57
  5. Step 5: Solve for x
    x = 41,412,985.57/9,230.76
  6. Step 6: Final answer
    x = 4,486.41

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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.