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Finding the Fourth Proportional to 9,914.96, 13,683.36 and 5,665.92

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Solution

The fourth proportional to 9,914.96, 13,683.36 and 5,665.92 is: 7,819.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,914.96 : 13,683.36 = 5,665.92 : x
  2. Step 2: Convert to fraction form
    9,914.96/13,683.36 = 5,665.92/x
  3. Step 3: Cross multiply
    9,914.96x = 13,683.36 × 5,665.92
  4. Step 4: Simplify right side
    9,914.96x = 77,528,823.09
  5. Step 5: Solve for x
    x = 77,528,823.09/9,914.96
  6. Step 6: Final answer
    x = 7,819.38

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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.