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Finding the Fourth Proportional to 9,769.50, 13,492.89 and 6,620.22

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Solution

The fourth proportional to 9,769.50, 13,492.89 and 6,620.22 is: 9,143.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,769.50 : 13,492.89 = 6,620.22 : x
  2. Step 2: Convert to fraction form
    9,769.50/13,492.89 = 6,620.22/x
  3. Step 3: Cross multiply
    9,769.50x = 13,492.89 × 6,620.22
  4. Step 4: Simplify right side
    9,769.50x = 89,325,900.24
  5. Step 5: Solve for x
    x = 89,325,900.24/9,769.50
  6. Step 6: Final answer
    x = 9,143.34

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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.