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Finding the Fourth Proportional to 9,201.90, 12,699.14 and 5,427.28

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Solution

The fourth proportional to 9,201.90, 12,699.14 and 5,427.28 is: 7,489.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,201.90 : 12,699.14 = 5,427.28 : x
  2. Step 2: Convert to fraction form
    9,201.90/12,699.14 = 5,427.28/x
  3. Step 3: Cross multiply
    9,201.90x = 12,699.14 × 5,427.28
  4. Step 4: Simplify right side
    9,201.90x = 68,921,777.28
  5. Step 5: Solve for x
    x = 68,921,777.28/9,201.90
  6. Step 6: Final answer
    x = 7,489.95

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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.