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Finding the Fourth Proportional to 9,263.36, 12,782.04 and 5,230.64

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Solution

The fourth proportional to 9,263.36, 12,782.04 and 5,230.64 is: 7,217.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,263.36 : 12,782.04 = 5,230.64 : x
  2. Step 2: Convert to fraction form
    9,263.36/12,782.04 = 5,230.64/x
  3. Step 3: Cross multiply
    9,263.36x = 12,782.04 × 5,230.64
  4. Step 4: Simplify right side
    9,263.36x = 66,858,249.71
  5. Step 5: Solve for x
    x = 66,858,249.71/9,263.36
  6. Step 6: Final answer
    x = 7,217.49

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