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Finding the Fourth Proportional to 6,880.62, 9,492.21 and 4,084.50

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Solution

The fourth proportional to 6,880.62, 9,492.21 and 4,084.50 is: 5,634.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,880.62 : 9,492.21 = 4,084.50 : x
  2. Step 2: Convert to fraction form
    6,880.62/9,492.21 = 4,084.50/x
  3. Step 3: Cross multiply
    6,880.62x = 9,492.21 × 4,084.50
  4. Step 4: Simplify right side
    6,880.62x = 38,770,931.75
  5. Step 5: Solve for x
    x = 38,770,931.75/6,880.62
  6. Step 6: Final answer
    x = 5,634.80

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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.