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Finding the Fourth Proportional to 9,138.24, 13,697.73 and 5,184.54

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Solution

The fourth proportional to 9,138.24, 13,697.73 and 5,184.54 is: 7,771.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,138.24 : 13,697.73 = 5,184.54 : x
  2. Step 2: Convert to fraction form
    9,138.24/13,697.73 = 5,184.54/x
  3. Step 3: Cross multiply
    9,138.24x = 13,697.73 × 5,184.54
  4. Step 4: Simplify right side
    9,138.24x = 71,016,429.09
  5. Step 5: Solve for x
    x = 71,016,429.09/9,138.24
  6. Step 6: Final answer
    x = 7,771.35

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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.