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Finding the Fourth Proportional to 9,616.10, 14,424.15 and 5,906.30

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Solution

The fourth proportional to 9,616.10, 14,424.15 and 5,906.30 is: 8,859.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,616.10 : 14,424.15 = 5,906.30 : x
  2. Step 2: Convert to fraction form
    9,616.10/14,424.15 = 5,906.30/x
  3. Step 3: Cross multiply
    9,616.10x = 14,424.15 × 5,906.30
  4. Step 4: Simplify right side
    9,616.10x = 85,193,357.15
  5. Step 5: Solve for x
    x = 85,193,357.15/9,616.10
  6. Step 6: Final answer
    x = 8,859.45

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Similar ratio
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1.5x scale

Why These Related Problems?

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