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Finding the Fourth Proportional to 9,664.30, 14,496.45 and 8,206.30

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Solution

The fourth proportional to 9,664.30, 14,496.45 and 8,206.30 is: 12,309.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,664.30 : 14,496.45 = 8,206.30 : x
  2. Step 2: Convert to fraction form
    9,664.30/14,496.45 = 8,206.30/x
  3. Step 3: Cross multiply
    9,664.30x = 14,496.45 × 8,206.30
  4. Step 4: Simplify right side
    9,664.30x = 118,962,217.64
  5. Step 5: Solve for x
    x = 118,962,217.64/9,664.30
  6. Step 6: Final answer
    x = 12,309.45

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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.