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Finding the Fourth Proportional to 10,370.66, 14,278.20 and 9,230.90

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Solution

The fourth proportional to 10,370.66, 14,278.20 and 9,230.90 is: 12,708.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,370.66 : 14,278.20 = 9,230.90 : x
  2. Step 2: Convert to fraction form
    10,370.66/14,278.20 = 9,230.90/x
  3. Step 3: Cross multiply
    10,370.66x = 14,278.20 × 9,230.90
  4. Step 4: Simplify right side
    10,370.66x = 131,800,636.38
  5. Step 5: Solve for x
    x = 131,800,636.38/10,370.66
  6. Step 6: Final answer
    x = 12,708.99

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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.