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Finding the Fourth Proportional to 7,037.19, 9,711.32 and 3,893.38

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Solution

The fourth proportional to 7,037.19, 9,711.32 and 3,893.38 is: 5,372.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,037.19 : 9,711.32 = 3,893.38 : x
  2. Step 2: Convert to fraction form
    7,037.19/9,711.32 = 3,893.38/x
  3. Step 3: Cross multiply
    7,037.19x = 9,711.32 × 3,893.38
  4. Step 4: Simplify right side
    7,037.19x = 37,809,859.06
  5. Step 5: Solve for x
    x = 37,809,859.06/7,037.19
  6. Step 6: Final answer
    x = 5,372.86

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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.