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Finding the Fourth Proportional to 9,077.12, 13,616.64 and 5,180.48

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Solution

The fourth proportional to 9,077.12, 13,616.64 and 5,180.48 is: 7,771.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,077.12 : 13,616.64 = 5,180.48 : x
  2. Step 2: Convert to fraction form
    9,077.12/13,616.64 = 5,180.48/x
  3. Step 3: Cross multiply
    9,077.12x = 13,616.64 × 5,180.48
  4. Step 4: Simplify right side
    9,077.12x = 70,540,731.19
  5. Step 5: Solve for x
    x = 70,540,731.19/9,077.12
  6. Step 6: Final answer
    x = 7,771.27

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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.