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Finding the Fourth Proportional to 6,419.12, 9,627.84 and 2,036.60

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Solution

The fourth proportional to 6,419.12, 9,627.84 and 2,036.60 is: 3,054.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,419.12 : 9,627.84 = 2,036.60 : x
  2. Step 2: Convert to fraction form
    6,419.12/9,627.84 = 2,036.60/x
  3. Step 3: Cross multiply
    6,419.12x = 9,627.84 × 2,036.60
  4. Step 4: Simplify right side
    6,419.12x = 19,608,058.94
  5. Step 5: Solve for x
    x = 19,608,058.94/6,419.12
  6. Step 6: Final answer
    x = 3,054.63

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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.