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Finding the Fourth Proportional to 6,510.36, 9,767.04 and 2,127.86

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Solution

The fourth proportional to 6,510.36, 9,767.04 and 2,127.86 is: 3,192.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,510.36 : 9,767.04 = 2,127.86 : x
  2. Step 2: Convert to fraction form
    6,510.36/9,767.04 = 2,127.86/x
  3. Step 3: Cross multiply
    6,510.36x = 9,767.04 × 2,127.86
  4. Step 4: Simplify right side
    6,510.36x = 20,782,893.73
  5. Step 5: Solve for x
    x = 20,782,893.73/6,510.36
  6. Step 6: Final answer
    x = 3,192.28

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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.