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Finding the Fourth Proportional to 6,267.36, 9,402.12 and 2,107.77

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Solution

The fourth proportional to 6,267.36, 9,402.12 and 2,107.77 is: 3,162.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,267.36 : 9,402.12 = 2,107.77 : x
  2. Step 2: Convert to fraction form
    6,267.36/9,402.12 = 2,107.77/x
  3. Step 3: Cross multiply
    6,267.36x = 9,402.12 × 2,107.77
  4. Step 4: Simplify right side
    6,267.36x = 19,817,506.47
  5. Step 5: Solve for x
    x = 19,817,506.47/6,267.36
  6. Step 6: Final answer
    x = 3,162.02

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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.