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Finding the Fourth Proportional to 6,398.20, 9,602.70 and 3,114.10

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Solution

The fourth proportional to 6,398.20, 9,602.70 and 3,114.10 is: 4,673.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,398.20 : 9,602.70 = 3,114.10 : x
  2. Step 2: Convert to fraction form
    6,398.20/9,602.70 = 3,114.10/x
  3. Step 3: Cross multiply
    6,398.20x = 9,602.70 × 3,114.10
  4. Step 4: Simplify right side
    6,398.20x = 29,903,768.07
  5. Step 5: Solve for x
    x = 29,903,768.07/6,398.20
  6. Step 6: Final answer
    x = 4,673.78

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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.