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Finding the Fourth Proportional to 6,172.92, 9,261 and 1,790.76

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Solution

The fourth proportional to 6,172.92, 9,261 and 1,790.76 is: 2,686.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,172.92 : 9,261 = 1,790.76 : x
  2. Step 2: Convert to fraction form
    6,172.92/9,261 = 1,790.76/x
  3. Step 3: Cross multiply
    6,172.92x = 9,261 × 1,790.76
  4. Step 4: Simplify right side
    6,172.92x = 16,584,228.36
  5. Step 5: Solve for x
    x = 16,584,228.36/6,172.92
  6. Step 6: Final answer
    x = 2,686.61

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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.