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Finding the Fourth Proportional to 9,154.22, 12,639.24 and 8,083.80

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Solution

The fourth proportional to 9,154.22, 12,639.24 and 8,083.80 is: 11,161.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,154.22 : 12,639.24 = 8,083.80 : x
  2. Step 2: Convert to fraction form
    9,154.22/12,639.24 = 8,083.80/x
  3. Step 3: Cross multiply
    9,154.22x = 12,639.24 × 8,083.80
  4. Step 4: Simplify right side
    9,154.22x = 102,173,088.31
  5. Step 5: Solve for x
    x = 102,173,088.31/9,154.22
  6. Step 6: Final answer
    x = 11,161.32

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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.