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Finding the Fourth Proportional to 9,161.95, 13,730.77 and 4,778.23

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Solution

The fourth proportional to 9,161.95, 13,730.77 and 4,778.23 is: 7,161.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,161.95 : 13,730.77 = 4,778.23 : x
  2. Step 2: Convert to fraction form
    9,161.95/13,730.77 = 4,778.23/x
  3. Step 3: Cross multiply
    9,161.95x = 13,730.77 × 4,778.23
  4. Step 4: Simplify right side
    9,161.95x = 65,608,777.14
  5. Step 5: Solve for x
    x = 65,608,777.14/9,161.95
  6. Step 6: Final answer
    x = 7,161.01

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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.