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Finding the Fourth Proportional to 6,265.94, 9,401.00 and 2,106.36

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Solution

The fourth proportional to 6,265.94, 9,401.00 and 2,106.36 is: 3,160.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,265.94 : 9,401.00 = 2,106.36 : x
  2. Step 2: Convert to fraction form
    6,265.94/9,401.00 = 2,106.36/x
  3. Step 3: Cross multiply
    6,265.94x = 9,401.00 × 2,106.36
  4. Step 4: Simplify right side
    6,265.94x = 19,801,879.83
  5. Step 5: Solve for x
    x = 19,801,879.83/6,265.94
  6. Step 6: Final answer
    x = 3,160.24

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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.