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Finding the Fourth Proportional to 9,201.33, 13,802.22 and 3,357.95

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Solution

The fourth proportional to 9,201.33, 13,802.22 and 3,357.95 is: 5,037.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,201.33 : 13,802.22 = 3,357.95 : x
  2. Step 2: Convert to fraction form
    9,201.33/13,802.22 = 3,357.95/x
  3. Step 3: Cross multiply
    9,201.33x = 13,802.22 × 3,357.95
  4. Step 4: Simplify right side
    9,201.33x = 46,347,095.64
  5. Step 5: Solve for x
    x = 46,347,095.64/9,201.33
  6. Step 6: Final answer
    x = 5,037.00

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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.