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Finding the Fourth Proportional to 9,427.76, 13,007.37 and 5,447.42

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Solution

The fourth proportional to 9,427.76, 13,007.37 and 5,447.42 is: 7,515.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,427.76 : 13,007.37 = 5,447.42 : x
  2. Step 2: Convert to fraction form
    9,427.76/13,007.37 = 5,447.42/x
  3. Step 3: Cross multiply
    9,427.76x = 13,007.37 × 5,447.42
  4. Step 4: Simplify right side
    9,427.76x = 70,856,556.07
  5. Step 5: Solve for x
    x = 70,856,556.07/9,427.76
  6. Step 6: Final answer
    x = 7,515.74

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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.