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Finding the Fourth Proportional to 11,192.52, 15,465.14 and 9,201.56

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Solution

The fourth proportional to 11,192.52, 15,465.14 and 9,201.56 is: 12,714.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,192.52 : 15,465.14 = 9,201.56 : x
  2. Step 2: Convert to fraction form
    11,192.52/15,465.14 = 9,201.56/x
  3. Step 3: Cross multiply
    11,192.52x = 15,465.14 × 9,201.56
  4. Step 4: Simplify right side
    11,192.52x = 142,303,413.62
  5. Step 5: Solve for x
    x = 142,303,413.62/11,192.52
  6. Step 6: Final answer
    x = 12,714.15

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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.