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Finding the Fourth Proportional to 7,108.66, 9,806.77 and 4,122.76

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Solution

The fourth proportional to 7,108.66, 9,806.77 and 4,122.76 is: 5,687.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,108.66 : 9,806.77 = 4,122.76 : x
  2. Step 2: Convert to fraction form
    7,108.66/9,806.77 = 4,122.76/x
  3. Step 3: Cross multiply
    7,108.66x = 9,806.77 × 4,122.76
  4. Step 4: Simplify right side
    7,108.66x = 40,430,959.09
  5. Step 5: Solve for x
    x = 40,430,959.09/7,108.66
  6. Step 6: Final answer
    x = 5,687.57

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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.