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Finding the Fourth Proportional to 6,419.71, 9,630.38 and 2,035.60

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Solution

The fourth proportional to 6,419.71, 9,630.38 and 2,035.60 is: 3,053.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,419.71 : 9,630.38 = 2,035.60 : x
  2. Step 2: Convert to fraction form
    6,419.71/9,630.38 = 2,035.60/x
  3. Step 3: Cross multiply
    6,419.71x = 9,630.38 × 2,035.60
  4. Step 4: Simplify right side
    6,419.71x = 19,603,601.53
  5. Step 5: Solve for x
    x = 19,603,601.53/6,419.71
  6. Step 6: Final answer
    x = 3,053.66

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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.