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Finding the Fourth Proportional to 9,408.92, 12,984.74 and 5,217.16

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Solution

The fourth proportional to 9,408.92, 12,984.74 and 5,217.16 is: 7,199.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,408.92 : 12,984.74 = 5,217.16 : x
  2. Step 2: Convert to fraction form
    9,408.92/12,984.74 = 5,217.16/x
  3. Step 3: Cross multiply
    9,408.92x = 12,984.74 × 5,217.16
  4. Step 4: Simplify right side
    9,408.92x = 67,743,466.14
  5. Step 5: Solve for x
    x = 67,743,466.14/9,408.92
  6. Step 6: Final answer
    x = 7,199.92

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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.