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Finding the Fourth Proportional to 9,303.75, 12,839.22 and 5,324.76

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Solution

The fourth proportional to 9,303.75, 12,839.22 and 5,324.76 is: 7,348.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,303.75 : 12,839.22 = 5,324.76 : x
  2. Step 2: Convert to fraction form
    9,303.75/12,839.22 = 5,324.76/x
  3. Step 3: Cross multiply
    9,303.75x = 12,839.22 × 5,324.76
  4. Step 4: Simplify right side
    9,303.75x = 68,365,765.09
  5. Step 5: Solve for x
    x = 68,365,765.09/9,303.75
  6. Step 6: Final answer
    x = 7,348.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.