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Finding the Fourth Proportional to 9,738.63, 14,593.37 and 9,009.63

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Solution

The fourth proportional to 9,738.63, 14,593.37 and 9,009.63 is: 13,500.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,738.63 : 14,593.37 = 9,009.63 : x
  2. Step 2: Convert to fraction form
    9,738.63/14,593.37 = 9,009.63/x
  3. Step 3: Cross multiply
    9,738.63x = 14,593.37 × 9,009.63
  4. Step 4: Simplify right side
    9,738.63x = 131,480,819.10
  5. Step 5: Solve for x
    x = 131,480,819.10/9,738.63
  6. Step 6: Final answer
    x = 13,500.96

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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.