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Finding the Fourth Proportional to 7,021.82, 9,689.86 and 4,037.48

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Solution

The fourth proportional to 7,021.82, 9,689.86 and 4,037.48 is: 5,571.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,021.82 : 9,689.86 = 4,037.48 : x
  2. Step 2: Convert to fraction form
    7,021.82/9,689.86 = 4,037.48/x
  3. Step 3: Cross multiply
    7,021.82x = 9,689.86 × 4,037.48
  4. Step 4: Simplify right side
    7,021.82x = 39,122,608.89
  5. Step 5: Solve for x
    x = 39,122,608.89/7,021.82
  6. Step 6: Final answer
    x = 5,571.57

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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.