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Finding the Fourth Proportional to 9,422.67, 14,138.10 and 3,580.95

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Solution

The fourth proportional to 9,422.67, 14,138.10 and 3,580.95 is: 5,372.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,422.67 : 14,138.10 = 3,580.95 : x
  2. Step 2: Convert to fraction form
    9,422.67/14,138.10 = 3,580.95/x
  3. Step 3: Cross multiply
    9,422.67x = 14,138.10 × 3,580.95
  4. Step 4: Simplify right side
    9,422.67x = 50,627,829.20
  5. Step 5: Solve for x
    x = 50,627,829.20/9,422.67
  6. Step 6: Final answer
    x = 5,372.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.