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Finding the Fourth Proportional to 9,201.90, 13,795.52 and 4,004.14

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Solution

The fourth proportional to 9,201.90, 13,795.52 and 4,004.14 is: 6,003.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,201.90 : 13,795.52 = 4,004.14 : x
  2. Step 2: Convert to fraction form
    9,201.90/13,795.52 = 4,004.14/x
  3. Step 3: Cross multiply
    9,201.90x = 13,795.52 × 4,004.14
  4. Step 4: Simplify right side
    9,201.90x = 55,239,193.45
  5. Step 5: Solve for x
    x = 55,239,193.45/9,201.90
  6. Step 6: Final answer
    x = 6,003.02

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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.