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Finding the Fourth Proportional to 9,077.58, 13,599.09 and 5,170.14

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Solution

The fourth proportional to 9,077.58, 13,599.09 and 5,170.14 is: 7,745.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,077.58 : 13,599.09 = 5,170.14 : x
  2. Step 2: Convert to fraction form
    9,077.58/13,599.09 = 5,170.14/x
  3. Step 3: Cross multiply
    9,077.58x = 13,599.09 × 5,170.14
  4. Step 4: Simplify right side
    9,077.58x = 70,309,199.17
  5. Step 5: Solve for x
    x = 70,309,199.17/9,077.58
  6. Step 6: Final answer
    x = 7,745.37

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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.