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Finding the Fourth Proportional to 7,120.88, 9,827.01 and 3,977.27

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Solution

The fourth proportional to 7,120.88, 9,827.01 and 3,977.27 is: 5,488.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,120.88 : 9,827.01 = 3,977.27 : x
  2. Step 2: Convert to fraction form
    7,120.88/9,827.01 = 3,977.27/x
  3. Step 3: Cross multiply
    7,120.88x = 9,827.01 × 3,977.27
  4. Step 4: Simplify right side
    7,120.88x = 39,084,622.93
  5. Step 5: Solve for x
    x = 39,084,622.93/7,120.88
  6. Step 6: Final answer
    x = 5,488.74

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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.