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Finding the Fourth Proportional to 9,130.14, 13,695.21 and 3,286.44

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Solution

The fourth proportional to 9,130.14, 13,695.21 and 3,286.44 is: 4,929.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,130.14 : 13,695.21 = 3,286.44 : x
  2. Step 2: Convert to fraction form
    9,130.14/13,695.21 = 3,286.44/x
  3. Step 3: Cross multiply
    9,130.14x = 13,695.21 × 3,286.44
  4. Step 4: Simplify right side
    9,130.14x = 45,008,485.95
  5. Step 5: Solve for x
    x = 45,008,485.95/9,130.14
  6. Step 6: Final answer
    x = 4,929.66

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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.