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Finding the Fourth Proportional to 9,422.59, 13,003.41 and 5,174.07

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Solution

The fourth proportional to 9,422.59, 13,003.41 and 5,174.07 is: 7,140.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,422.59 : 13,003.41 = 5,174.07 : x
  2. Step 2: Convert to fraction form
    9,422.59/13,003.41 = 5,174.07/x
  3. Step 3: Cross multiply
    9,422.59x = 13,003.41 × 5,174.07
  4. Step 4: Simplify right side
    9,422.59x = 67,280,553.58
  5. Step 5: Solve for x
    x = 67,280,553.58/9,422.59
  6. Step 6: Final answer
    x = 7,140.35

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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.