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Finding the Fourth Proportional to 9,274.08, 13,902.24 and 3,429.12

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Solution

The fourth proportional to 9,274.08, 13,902.24 and 3,429.12 is: 5,140.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,274.08 : 13,902.24 = 3,429.12 : x
  2. Step 2: Convert to fraction form
    9,274.08/13,902.24 = 3,429.12/x
  3. Step 3: Cross multiply
    9,274.08x = 13,902.24 × 3,429.12
  4. Step 4: Simplify right side
    9,274.08x = 47,672,449.23
  5. Step 5: Solve for x
    x = 47,672,449.23/9,274.08
  6. Step 6: Final answer
    x = 5,140.40

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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.