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Finding the Fourth Proportional to 9,325.68, 12,825.33 and 7,414.79

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Solution

The fourth proportional to 9,325.68, 12,825.33 and 7,414.79 is: 10,197.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,325.68 : 12,825.33 = 7,414.79 : x
  2. Step 2: Convert to fraction form
    9,325.68/12,825.33 = 7,414.79/x
  3. Step 3: Cross multiply
    9,325.68x = 12,825.33 × 7,414.79
  4. Step 4: Simplify right side
    9,325.68x = 95,097,128.63
  5. Step 5: Solve for x
    x = 95,097,128.63/9,325.68
  6. Step 6: Final answer
    x = 10,197.34

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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.