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Finding the Fourth Proportional to 9,422.64, 13,003.23 and 5,230.92

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Solution

The fourth proportional to 9,422.64, 13,003.23 and 5,230.92 is: 7,218.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,422.64 : 13,003.23 = 5,230.92 : x
  2. Step 2: Convert to fraction form
    9,422.64/13,003.23 = 5,230.92/x
  3. Step 3: Cross multiply
    9,422.64x = 13,003.23 × 5,230.92
  4. Step 4: Simplify right side
    9,422.64x = 68,018,855.87
  5. Step 5: Solve for x
    x = 68,018,855.87/9,422.64
  6. Step 6: Final answer
    x = 7,218.66

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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.