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Finding the Fourth Proportional to 9,652.25, 14,478.38 and 3,408.87

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Solution

The fourth proportional to 9,652.25, 14,478.38 and 3,408.87 is: 5,113.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,652.25 : 14,478.38 = 3,408.87 : x
  2. Step 2: Convert to fraction form
    9,652.25/14,478.38 = 3,408.87/x
  3. Step 3: Cross multiply
    9,652.25x = 14,478.38 × 3,408.87
  4. Step 4: Simplify right side
    9,652.25x = 49,354,915.23
  5. Step 5: Solve for x
    x = 49,354,915.23/9,652.25
  6. Step 6: Final answer
    x = 5,113.31

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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.