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Finding the Fourth Proportional to 9,189.72, 13,772.21 and 5,023.47

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Solution

The fourth proportional to 9,189.72, 13,772.21 and 5,023.47 is: 7,528.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,189.72 : 13,772.21 = 5,023.47 : x
  2. Step 2: Convert to fraction form
    9,189.72/13,772.21 = 5,023.47/x
  3. Step 3: Cross multiply
    9,189.72x = 13,772.21 × 5,023.47
  4. Step 4: Simplify right side
    9,189.72x = 69,184,258.65
  5. Step 5: Solve for x
    x = 69,184,258.65/9,189.72
  6. Step 6: Final answer
    x = 7,528.44

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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.