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Finding the Fourth Proportional to 9,100.22, 13,655.54 and 4,940.57

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Solution

The fourth proportional to 9,100.22, 13,655.54 and 4,940.57 is: 7,413.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,100.22 : 13,655.54 = 4,940.57 : x
  2. Step 2: Convert to fraction form
    9,100.22/13,655.54 = 4,940.57/x
  3. Step 3: Cross multiply
    9,100.22x = 13,655.54 × 4,940.57
  4. Step 4: Simplify right side
    9,100.22x = 67,466,131.55
  5. Step 5: Solve for x
    x = 67,466,131.55/9,100.22
  6. Step 6: Final answer
    x = 7,413.68

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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.