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Finding the Fourth Proportional to 7,121.63, 9,827.84 and 3,977.88

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Solution

The fourth proportional to 7,121.63, 9,827.84 and 3,977.88 is: 5,489.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,121.63 : 9,827.84 = 3,977.88 : x
  2. Step 2: Convert to fraction form
    7,121.63/9,827.84 = 3,977.88/x
  3. Step 3: Cross multiply
    7,121.63x = 9,827.84 × 3,977.88
  4. Step 4: Simplify right side
    7,121.63x = 39,093,978.12
  5. Step 5: Solve for x
    x = 39,093,978.12/7,121.63
  6. Step 6: Final answer
    x = 5,489.47

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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.