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Finding the Fourth Proportional to 7,156.22, 9,876.15 and 3,969.83

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Solution

The fourth proportional to 7,156.22, 9,876.15 and 3,969.83 is: 5,478.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,156.22 : 9,876.15 = 3,969.83 : x
  2. Step 2: Convert to fraction form
    7,156.22/9,876.15 = 3,969.83/x
  3. Step 3: Cross multiply
    7,156.22x = 9,876.15 × 3,969.83
  4. Step 4: Simplify right side
    7,156.22x = 39,206,587.17
  5. Step 5: Solve for x
    x = 39,206,587.17/7,156.22
  6. Step 6: Final answer
    x = 5,478.68

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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.