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Finding the Fourth Proportional to 9,272.16, 13,900.32 and 3,427.68

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Solution

The fourth proportional to 9,272.16, 13,900.32 and 3,427.68 is: 5,138.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,272.16 : 13,900.32 = 3,427.68 : x
  2. Step 2: Convert to fraction form
    9,272.16/13,900.32 = 3,427.68/x
  3. Step 3: Cross multiply
    9,272.16x = 13,900.32 × 3,427.68
  4. Step 4: Simplify right side
    9,272.16x = 47,645,848.86
  5. Step 5: Solve for x
    x = 47,645,848.86/9,272.16
  6. Step 6: Final answer
    x = 5,138.59

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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.