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Finding the Fourth Proportional to 9,245.66, 12,783.30 and 8,832.56

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Solution

The fourth proportional to 9,245.66, 12,783.30 and 8,832.56 is: 12,212.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,245.66 : 12,783.30 = 8,832.56 : x
  2. Step 2: Convert to fraction form
    9,245.66/12,783.30 = 8,832.56/x
  3. Step 3: Cross multiply
    9,245.66x = 12,783.30 × 8,832.56
  4. Step 4: Simplify right side
    9,245.66x = 112,909,200.33
  5. Step 5: Solve for x
    x = 112,909,200.33/9,245.66
  6. Step 6: Final answer
    x = 12,212.14

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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.