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Finding the Fourth Proportional to 6,451.36, 9,677.12 and 2,291.28

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Solution

The fourth proportional to 6,451.36, 9,677.12 and 2,291.28 is: 3,436.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,451.36 : 9,677.12 = 2,291.28 : x
  2. Step 2: Convert to fraction form
    6,451.36/9,677.12 = 2,291.28/x
  3. Step 3: Cross multiply
    6,451.36x = 9,677.12 × 2,291.28
  4. Step 4: Simplify right side
    6,451.36x = 22,172,991.51
  5. Step 5: Solve for x
    x = 22,172,991.51/6,451.36
  6. Step 6: Final answer
    x = 3,436.95

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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.