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Finding the Fourth Proportional to 9,289.26, 12,819.16 and 5,097.42

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Solution

The fourth proportional to 9,289.26, 12,819.16 and 5,097.42 is: 7,034.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,289.26 : 12,819.16 = 5,097.42 : x
  2. Step 2: Convert to fraction form
    9,289.26/12,819.16 = 5,097.42/x
  3. Step 3: Cross multiply
    9,289.26x = 12,819.16 × 5,097.42
  4. Step 4: Simplify right side
    9,289.26x = 65,344,642.57
  5. Step 5: Solve for x
    x = 65,344,642.57/9,289.26
  6. Step 6: Final answer
    x = 7,034.43

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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.