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Finding the Fourth Proportional to 9,683.16, 13,363.20 and 5,704.44

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Solution

The fourth proportional to 9,683.16, 13,363.20 and 5,704.44 is: 7,872.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,683.16 : 13,363.20 = 5,704.44 : x
  2. Step 2: Convert to fraction form
    9,683.16/13,363.20 = 5,704.44/x
  3. Step 3: Cross multiply
    9,683.16x = 13,363.20 × 5,704.44
  4. Step 4: Simplify right side
    9,683.16x = 76,229,572.61
  5. Step 5: Solve for x
    x = 76,229,572.61/9,683.16
  6. Step 6: Final answer
    x = 7,872.39

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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.