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Finding the Fourth Proportional to 9,256.14, 13,884.21 and 5,358.42

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Solution

The fourth proportional to 9,256.14, 13,884.21 and 5,358.42 is: 8,037.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,256.14 : 13,884.21 = 5,358.42 : x
  2. Step 2: Convert to fraction form
    9,256.14/13,884.21 = 5,358.42/x
  3. Step 3: Cross multiply
    9,256.14x = 13,884.21 × 5,358.42
  4. Step 4: Simplify right side
    9,256.14x = 74,397,428.55
  5. Step 5: Solve for x
    x = 74,397,428.55/9,256.14
  6. Step 6: Final answer
    x = 8,037.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.