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Finding the Fourth Proportional to 6,161.41, 9,253.20 and 5,666.92

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Solution

The fourth proportional to 6,161.41, 9,253.20 and 5,666.92 is: 8,510.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,161.41 : 9,253.20 = 5,666.92 : x
  2. Step 2: Convert to fraction form
    6,161.41/9,253.20 = 5,666.92/x
  3. Step 3: Cross multiply
    6,161.41x = 9,253.20 × 5,666.92
  4. Step 4: Simplify right side
    6,161.41x = 52,437,144.14
  5. Step 5: Solve for x
    x = 52,437,144.14/6,161.41
  6. Step 6: Final answer
    x = 8,510.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.