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Finding the Fourth Proportional to 10,369.01, 14,309.52 and 6,336.49

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Solution

The fourth proportional to 10,369.01, 14,309.52 and 6,336.49 is: 8,744.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,369.01 : 14,309.52 = 6,336.49 : x
  2. Step 2: Convert to fraction form
    10,369.01/14,309.52 = 6,336.49/x
  3. Step 3: Cross multiply
    10,369.01x = 14,309.52 × 6,336.49
  4. Step 4: Simplify right side
    10,369.01x = 90,672,130.38
  5. Step 5: Solve for x
    x = 90,672,130.38/10,369.01
  6. Step 6: Final answer
    x = 8,744.53

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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.