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Finding the Fourth Proportional to 9,914.38, 13,683.06 and 5,722.62

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Solution

The fourth proportional to 9,914.38, 13,683.06 and 5,722.62 is: 7,897.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,914.38 : 13,683.06 = 5,722.62 : x
  2. Step 2: Convert to fraction form
    9,914.38/13,683.06 = 5,722.62/x
  3. Step 3: Cross multiply
    9,914.38x = 13,683.06 × 5,722.62
  4. Step 4: Simplify right side
    9,914.38x = 78,302,952.82
  5. Step 5: Solve for x
    x = 78,302,952.82/9,914.38
  6. Step 6: Final answer
    x = 7,897.92

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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.