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Finding the Fourth Proportional to 10,340.96, 14,234.49 and 9,012.38

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Solution

The fourth proportional to 10,340.96, 14,234.49 and 9,012.38 is: 12,405.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,340.96 : 14,234.49 = 9,012.38 : x
  2. Step 2: Convert to fraction form
    10,340.96/14,234.49 = 9,012.38/x
  3. Step 3: Cross multiply
    10,340.96x = 14,234.49 × 9,012.38
  4. Step 4: Simplify right side
    10,340.96x = 128,286,561.81
  5. Step 5: Solve for x
    x = 128,286,561.81/10,340.96
  6. Step 6: Final answer
    x = 12,405.68

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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.