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Finding the Fourth Proportional to 9,222.32, 13,836.36 and 8,489.36

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Solution

The fourth proportional to 9,222.32, 13,836.36 and 8,489.36 is: 12,736.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,222.32 : 13,836.36 = 8,489.36 : x
  2. Step 2: Convert to fraction form
    9,222.32/13,836.36 = 8,489.36/x
  3. Step 3: Cross multiply
    9,222.32x = 13,836.36 × 8,489.36
  4. Step 4: Simplify right side
    9,222.32x = 117,461,841.13
  5. Step 5: Solve for x
    x = 117,461,841.13/9,222.32
  6. Step 6: Final answer
    x = 12,736.69

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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.