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Finding the Fourth Proportional to 9,201.52, 13,795.52 and 3,358.16

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Solution

The fourth proportional to 9,201.52, 13,795.52 and 3,358.16 is: 5,034.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,201.52 : 13,795.52 = 3,358.16 : x
  2. Step 2: Convert to fraction form
    9,201.52/13,795.52 = 3,358.16/x
  3. Step 3: Cross multiply
    9,201.52x = 13,795.52 × 3,358.16
  4. Step 4: Simplify right side
    9,201.52x = 46,327,563.44
  5. Step 5: Solve for x
    x = 46,327,563.44/9,201.52
  6. Step 6: Final answer
    x = 5,034.77

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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.