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Finding the Fourth Proportional to 9,337.50, 14,007.60 and 3,414.68

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Solution

The fourth proportional to 9,337.50, 14,007.60 and 3,414.68 is: 5,122.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,337.50 : 14,007.60 = 3,414.68 : x
  2. Step 2: Convert to fraction form
    9,337.50/14,007.60 = 3,414.68/x
  3. Step 3: Cross multiply
    9,337.50x = 14,007.60 × 3,414.68
  4. Step 4: Simplify right side
    9,337.50x = 47,831,471.57
  5. Step 5: Solve for x
    x = 47,831,471.57/9,337.50
  6. Step 6: Final answer
    x = 5,122.51

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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.