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Finding the Fourth Proportional to 8,771.90, 12,084.63 and 6,114.46

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Solution

The fourth proportional to 8,771.90, 12,084.63 and 6,114.46 is: 8,423.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,771.90 : 12,084.63 = 6,114.46 : x
  2. Step 2: Convert to fraction form
    8,771.90/12,084.63 = 6,114.46/x
  3. Step 3: Cross multiply
    8,771.90x = 12,084.63 × 6,114.46
  4. Step 4: Simplify right side
    8,771.90x = 73,890,986.75
  5. Step 5: Solve for x
    x = 73,890,986.75/8,771.90
  6. Step 6: Final answer
    x = 8,423.60

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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.