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Finding the Fourth Proportional to 9,236.56, 13,831.80 and 5,763.28

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Solution

The fourth proportional to 9,236.56, 13,831.80 and 5,763.28 is: 8,630.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,236.56 : 13,831.80 = 5,763.28 : x
  2. Step 2: Convert to fraction form
    9,236.56/13,831.80 = 5,763.28/x
  3. Step 3: Cross multiply
    9,236.56x = 13,831.80 × 5,763.28
  4. Step 4: Simplify right side
    9,236.56x = 79,716,536.30
  5. Step 5: Solve for x
    x = 79,716,536.30/9,236.56
  6. Step 6: Final answer
    x = 8,630.54

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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.