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Finding the Fourth Proportional to 9,222.62, 13,823.48 and 8,109.89

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Solution

The fourth proportional to 9,222.62, 13,823.48 and 8,109.89 is: 12,155.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,222.62 : 13,823.48 = 8,109.89 : x
  2. Step 2: Convert to fraction form
    9,222.62/13,823.48 = 8,109.89/x
  3. Step 3: Cross multiply
    9,222.62x = 13,823.48 × 8,109.89
  4. Step 4: Simplify right side
    9,222.62x = 112,106,792.55
  5. Step 5: Solve for x
    x = 112,106,792.55/9,222.62
  6. Step 6: Final answer
    x = 12,155.64

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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.