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Finding the Fourth Proportional to 9,077.42, 13,616.81 and 3,530.30

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Solution

The fourth proportional to 9,077.42, 13,616.81 and 3,530.30 is: 5,295.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,077.42 : 13,616.81 = 3,530.30 : x
  2. Step 2: Convert to fraction form
    9,077.42/13,616.81 = 3,530.30/x
  3. Step 3: Cross multiply
    9,077.42x = 13,616.81 × 3,530.30
  4. Step 4: Simplify right side
    9,077.42x = 48,071,370.99
  5. Step 5: Solve for x
    x = 48,071,370.99/9,077.42
  6. Step 6: Final answer
    x = 5,295.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.