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Finding the Fourth Proportional to 6,298.39, 9,447.40 and 1,618.21

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Solution

The fourth proportional to 6,298.39, 9,447.40 and 1,618.21 is: 2,427.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,298.39 : 9,447.40 = 1,618.21 : x
  2. Step 2: Convert to fraction form
    6,298.39/9,447.40 = 1,618.21/x
  3. Step 3: Cross multiply
    6,298.39x = 9,447.40 × 1,618.21
  4. Step 4: Simplify right side
    6,298.39x = 15,287,877.15
  5. Step 5: Solve for x
    x = 15,287,877.15/6,298.39
  6. Step 6: Final answer
    x = 2,427.27

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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.