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Finding the Fourth Proportional to 9,604.96, 14,407.44 and 3,760.84

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Solution

The fourth proportional to 9,604.96, 14,407.44 and 3,760.84 is: 5,641.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,604.96 : 14,407.44 = 3,760.84 : x
  2. Step 2: Convert to fraction form
    9,604.96/14,407.44 = 3,760.84/x
  3. Step 3: Cross multiply
    9,604.96x = 14,407.44 × 3,760.84
  4. Step 4: Simplify right side
    9,604.96x = 54,184,076.65
  5. Step 5: Solve for x
    x = 54,184,076.65/9,604.96
  6. Step 6: Final answer
    x = 5,641.26

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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.