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Finding the Fourth Proportional to 9,084.10, 13,626.15 and 8,277.70

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Solution

The fourth proportional to 9,084.10, 13,626.15 and 8,277.70 is: 12,416.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,084.10 : 13,626.15 = 8,277.70 : x
  2. Step 2: Convert to fraction form
    9,084.10/13,626.15 = 8,277.70/x
  3. Step 3: Cross multiply
    9,084.10x = 13,626.15 × 8,277.70
  4. Step 4: Simplify right side
    9,084.10x = 112,793,181.86
  5. Step 5: Solve for x
    x = 112,793,181.86/9,084.10
  6. Step 6: Final answer
    x = 12,416.55

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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.