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Finding the Fourth Proportional to 6,266.00, 9,400.05 and 2,106.41

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Solution

The fourth proportional to 6,266.00, 9,400.05 and 2,106.41 is: 3,159.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,266.00 : 9,400.05 = 2,106.41 : x
  2. Step 2: Convert to fraction form
    6,266.00/9,400.05 = 2,106.41/x
  3. Step 3: Cross multiply
    6,266.00x = 9,400.05 × 2,106.41
  4. Step 4: Simplify right side
    6,266.00x = 19,800,312.32
  5. Step 5: Solve for x
    x = 19,800,312.32/6,266.00
  6. Step 6: Final answer
    x = 3,159.96

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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.