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Finding the Fourth Proportional to 9,297.80, 13,942.22 and 5,403.32

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Solution

The fourth proportional to 9,297.80, 13,942.22 and 5,403.32 is: 8,102.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,297.80 : 13,942.22 = 5,403.32 : x
  2. Step 2: Convert to fraction form
    9,297.80/13,942.22 = 5,403.32/x
  3. Step 3: Cross multiply
    9,297.80x = 13,942.22 × 5,403.32
  4. Step 4: Simplify right side
    9,297.80x = 75,334,276.17
  5. Step 5: Solve for x
    x = 75,334,276.17/9,297.80
  6. Step 6: Final answer
    x = 8,102.38

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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.