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Finding the Fourth Proportional to 9,076.80, 13,615.20 and 5,180.16

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Solution

The fourth proportional to 9,076.80, 13,615.20 and 5,180.16 is: 7,770.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,076.80 : 13,615.20 = 5,180.16 : x
  2. Step 2: Convert to fraction form
    9,076.80/13,615.20 = 5,180.16/x
  3. Step 3: Cross multiply
    9,076.80x = 13,615.20 × 5,180.16
  4. Step 4: Simplify right side
    9,076.80x = 70,528,914.43
  5. Step 5: Solve for x
    x = 70,528,914.43/9,076.80
  6. Step 6: Final answer
    x = 7,770.24

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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.