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Finding the Fourth Proportional to 9,289.52, 12,819.10 and 5,097.68

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Solution

The fourth proportional to 9,289.52, 12,819.10 and 5,097.68 is: 7,034.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,289.52 : 12,819.10 = 5,097.68 : x
  2. Step 2: Convert to fraction form
    9,289.52/12,819.10 = 5,097.68/x
  3. Step 3: Cross multiply
    9,289.52x = 12,819.10 × 5,097.68
  4. Step 4: Simplify right side
    9,289.52x = 65,347,669.69
  5. Step 5: Solve for x
    x = 65,347,669.69/9,289.52
  6. Step 6: Final answer
    x = 7,034.56

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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.