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Finding the Fourth Proportional to 9,797.44, 14,696.16 and 5,691.20

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Solution

The fourth proportional to 9,797.44, 14,696.16 and 5,691.20 is: 8,536.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,797.44 : 14,696.16 = 5,691.20 : x
  2. Step 2: Convert to fraction form
    9,797.44/14,696.16 = 5,691.20/x
  3. Step 3: Cross multiply
    9,797.44x = 14,696.16 × 5,691.20
  4. Step 4: Simplify right side
    9,797.44x = 83,638,785.79
  5. Step 5: Solve for x
    x = 83,638,785.79/9,797.44
  6. Step 6: Final answer
    x = 8,536.80

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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.