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Finding the Fourth Proportional to 9,616.80, 13,269.60 and 7,631.76

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Solution

The fourth proportional to 9,616.80, 13,269.60 and 7,631.76 is: 10,530.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,616.80 : 13,269.60 = 7,631.76 : x
  2. Step 2: Convert to fraction form
    9,616.80/13,269.60 = 7,631.76/x
  3. Step 3: Cross multiply
    9,616.80x = 13,269.60 × 7,631.76
  4. Step 4: Simplify right side
    9,616.80x = 101,270,402.50
  5. Step 5: Solve for x
    x = 101,270,402.50/9,616.80
  6. Step 6: Final answer
    x = 10,530.57

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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.