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Finding the Fourth Proportional to 9,422.76, 13,003.80 and 5,231

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Solution

The fourth proportional to 9,422.76, 13,003.80 and 5,231 is: 7,219.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,422.76 : 13,003.80 = 5,231 : x
  2. Step 2: Convert to fraction form
    9,422.76/13,003.80 = 5,231/x
  3. Step 3: Cross multiply
    9,422.76x = 13,003.80 × 5,231
  4. Step 4: Simplify right side
    9,422.76x = 68,022,877.80
  5. Step 5: Solve for x
    x = 68,022,877.80/9,422.76
  6. Step 6: Final answer
    x = 7,219.00

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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.