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Finding the Fourth Proportional to 9,913.38, 13,683.09 and 6,134.34

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Solution

The fourth proportional to 9,913.38, 13,683.09 and 6,134.34 is: 8,467.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,913.38 : 13,683.09 = 6,134.34 : x
  2. Step 2: Convert to fraction form
    9,913.38/13,683.09 = 6,134.34/x
  3. Step 3: Cross multiply
    9,913.38x = 13,683.09 × 6,134.34
  4. Step 4: Simplify right side
    9,913.38x = 83,936,726.31
  5. Step 5: Solve for x
    x = 83,936,726.31/9,913.38
  6. Step 6: Final answer
    x = 8,467.01

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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.