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Finding the Fourth Proportional to 9,445.62, 13,033.53 and 5,467.14

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Solution

The fourth proportional to 9,445.62, 13,033.53 and 5,467.14 is: 7,543.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,445.62 : 13,033.53 = 5,467.14 : x
  2. Step 2: Convert to fraction form
    9,445.62/13,033.53 = 5,467.14/x
  3. Step 3: Cross multiply
    9,445.62x = 13,033.53 × 5,467.14
  4. Step 4: Simplify right side
    9,445.62x = 71,256,133.20
  5. Step 5: Solve for x
    x = 71,256,133.20/9,445.62
  6. Step 6: Final answer
    x = 7,543.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.