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Finding the Fourth Proportional to 9,683.22, 14,512.05 and 3,836.64

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Solution

The fourth proportional to 9,683.22, 14,512.05 and 3,836.64 is: 5,749.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,683.22 : 14,512.05 = 3,836.64 : x
  2. Step 2: Convert to fraction form
    9,683.22/14,512.05 = 3,836.64/x
  3. Step 3: Cross multiply
    9,683.22x = 14,512.05 × 3,836.64
  4. Step 4: Simplify right side
    9,683.22x = 55,677,511.51
  5. Step 5: Solve for x
    x = 55,677,511.51/9,683.22
  6. Step 6: Final answer
    x = 5,749.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.