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Finding the Fourth Proportional to 9,469.53, 14,209.17 and 4,208.16

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Solution

The fourth proportional to 9,469.53, 14,209.17 and 4,208.16 is: 6,314.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,469.53 : 14,209.17 = 4,208.16 : x
  2. Step 2: Convert to fraction form
    9,469.53/14,209.17 = 4,208.16/x
  3. Step 3: Cross multiply
    9,469.53x = 14,209.17 × 4,208.16
  4. Step 4: Simplify right side
    9,469.53x = 59,794,460.83
  5. Step 5: Solve for x
    x = 59,794,460.83/9,469.53
  6. Step 6: Final answer
    x = 6,314.41

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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.