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Finding the Fourth Proportional to 9,980.94, 13,770.69 and 6,000.60

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Solution

The fourth proportional to 9,980.94, 13,770.69 and 6,000.60 is: 8,279.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,980.94 : 13,770.69 = 6,000.60 : x
  2. Step 2: Convert to fraction form
    9,980.94/13,770.69 = 6,000.60/x
  3. Step 3: Cross multiply
    9,980.94x = 13,770.69 × 6,000.60
  4. Step 4: Simplify right side
    9,980.94x = 82,632,402.41
  5. Step 5: Solve for x
    x = 82,632,402.41/9,980.94
  6. Step 6: Final answer
    x = 8,279.02

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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.