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Finding the Fourth Proportional to 6,164.52, 9,244.62 and 2,465.76

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Solution

The fourth proportional to 6,164.52, 9,244.62 and 2,465.76 is: 3,697.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,164.52 : 9,244.62 = 2,465.76 : x
  2. Step 2: Convert to fraction form
    6,164.52/9,244.62 = 2,465.76/x
  3. Step 3: Cross multiply
    6,164.52x = 9,244.62 × 2,465.76
  4. Step 4: Simplify right side
    6,164.52x = 22,795,014.21
  5. Step 5: Solve for x
    x = 22,795,014.21/6,164.52
  6. Step 6: Final answer
    x = 3,697.78

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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.