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Finding the Fourth Proportional to 8,194.16, 12,294.86 and 4,297.66

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Solution

The fourth proportional to 8,194.16, 12,294.86 and 4,297.66 is: 6,448.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,194.16 : 12,294.86 = 4,297.66 : x
  2. Step 2: Convert to fraction form
    8,194.16/12,294.86 = 4,297.66/x
  3. Step 3: Cross multiply
    8,194.16x = 12,294.86 × 4,297.66
  4. Step 4: Simplify right side
    8,194.16x = 52,839,075.80
  5. Step 5: Solve for x
    x = 52,839,075.80/8,194.16
  6. Step 6: Final answer
    x = 6,448.38

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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.