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Finding the Fourth Proportional to 9,205.89, 12,704.13 and 5,014.14

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Solution

The fourth proportional to 9,205.89, 12,704.13 and 5,014.14 is: 6,919.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,205.89 : 12,704.13 = 5,014.14 : x
  2. Step 2: Convert to fraction form
    9,205.89/12,704.13 = 5,014.14/x
  3. Step 3: Cross multiply
    9,205.89x = 12,704.13 × 5,014.14
  4. Step 4: Simplify right side
    9,205.89x = 63,700,286.40
  5. Step 5: Solve for x
    x = 63,700,286.40/9,205.89
  6. Step 6: Final answer
    x = 6,919.51

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.