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Finding the Fourth Proportional to 9,768.96, 14,653.44 and 7,433.76

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Solution

The fourth proportional to 9,768.96, 14,653.44 and 7,433.76 is: 11,150.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,768.96 : 14,653.44 = 7,433.76 : x
  2. Step 2: Convert to fraction form
    9,768.96/14,653.44 = 7,433.76/x
  3. Step 3: Cross multiply
    9,768.96x = 14,653.44 × 7,433.76
  4. Step 4: Simplify right side
    9,768.96x = 108,930,156.13
  5. Step 5: Solve for x
    x = 108,930,156.13/9,768.96
  6. Step 6: Final answer
    x = 11,150.64

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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.