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Finding the Fourth Proportional to 9,696.11, 14,544.16 and 6,408.52

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Solution

The fourth proportional to 9,696.11, 14,544.16 and 6,408.52 is: 9,612.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,696.11 : 14,544.16 = 6,408.52 : x
  2. Step 2: Convert to fraction form
    9,696.11/14,544.16 = 6,408.52/x
  3. Step 3: Cross multiply
    9,696.11x = 14,544.16 × 6,408.52
  4. Step 4: Simplify right side
    9,696.11x = 93,206,487.86
  5. Step 5: Solve for x
    x = 93,206,487.86/9,696.11
  6. Step 6: Final answer
    x = 9,612.78

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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.