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Finding the Fourth Proportional to 9,418.91, 14,184.77 and 8,578.16

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Solution

The fourth proportional to 9,418.91, 14,184.77 and 8,578.16 is: 12,918.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,418.91 : 14,184.77 = 8,578.16 : x
  2. Step 2: Convert to fraction form
    9,418.91/14,184.77 = 8,578.16/x
  3. Step 3: Cross multiply
    9,418.91x = 14,184.77 × 8,578.16
  4. Step 4: Simplify right side
    9,418.91x = 121,679,226.62
  5. Step 5: Solve for x
    x = 121,679,226.62/9,418.91
  6. Step 6: Final answer
    x = 12,918.61

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.