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Finding the Fourth Proportional to 9,201.42, 13,802.22 and 2,275.92

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Solution

The fourth proportional to 9,201.42, 13,802.22 and 2,275.92 is: 3,413.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,201.42 : 13,802.22 = 2,275.92 : x
  2. Step 2: Convert to fraction form
    9,201.42/13,802.22 = 2,275.92/x
  3. Step 3: Cross multiply
    9,201.42x = 13,802.22 × 2,275.92
  4. Step 4: Simplify right side
    9,201.42x = 31,412,748.54
  5. Step 5: Solve for x
    x = 31,412,748.54/9,201.42
  6. Step 6: Final answer
    x = 3,413.90

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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.