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Finding the Fourth Proportional to 9,588.76, 14,383.14 and 3,744.28

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Solution

The fourth proportional to 9,588.76, 14,383.14 and 3,744.28 is: 5,616.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,588.76 : 14,383.14 = 3,744.28 : x
  2. Step 2: Convert to fraction form
    9,588.76/14,383.14 = 3,744.28/x
  3. Step 3: Cross multiply
    9,588.76x = 14,383.14 × 3,744.28
  4. Step 4: Simplify right side
    9,588.76x = 53,854,503.44
  5. Step 5: Solve for x
    x = 53,854,503.44/9,588.76
  6. Step 6: Final answer
    x = 5,616.42

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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.