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Finding the Fourth Proportional to 9,396.66, 12,967.80 and 5,204.91

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Solution

The fourth proportional to 9,396.66, 12,967.80 and 5,204.91 is: 7,183.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,396.66 : 12,967.80 = 5,204.91 : x
  2. Step 2: Convert to fraction form
    9,396.66/12,967.80 = 5,204.91/x
  3. Step 3: Cross multiply
    9,396.66x = 12,967.80 × 5,204.91
  4. Step 4: Simplify right side
    9,396.66x = 67,496,231.90
  5. Step 5: Solve for x
    x = 67,496,231.90/9,396.66
  6. Step 6: Final answer
    x = 7,183.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.