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Finding the Fourth Proportional to 9,244.77, 12,742.77 and 7,224.63

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Solution

The fourth proportional to 9,244.77, 12,742.77 and 7,224.63 is: 9,958.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,244.77 : 12,742.77 = 7,224.63 : x
  2. Step 2: Convert to fraction form
    9,244.77/12,742.77 = 7,224.63/x
  3. Step 3: Cross multiply
    9,244.77x = 12,742.77 × 7,224.63
  4. Step 4: Simplify right side
    9,244.77x = 92,061,798.43
  5. Step 5: Solve for x
    x = 92,061,798.43/9,244.77
  6. Step 6: Final answer
    x = 9,958.26

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Double scale
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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.