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Finding the Fourth Proportional to 7,037.84, 9,711.54 and 3,893.96

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Solution

The fourth proportional to 7,037.84, 9,711.54 and 3,893.96 is: 5,373.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,037.84 : 9,711.54 = 3,893.96 : x
  2. Step 2: Convert to fraction form
    7,037.84/9,711.54 = 3,893.96/x
  3. Step 3: Cross multiply
    7,037.84x = 9,711.54 × 3,893.96
  4. Step 4: Simplify right side
    7,037.84x = 37,816,348.30
  5. Step 5: Solve for x
    x = 37,816,348.30/7,037.84
  6. Step 6: Final answer
    x = 5,373.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.