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Finding the Fourth Proportional to 6,316.88, 9,468.44 and 2,419.60

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Solution

The fourth proportional to 6,316.88, 9,468.44 and 2,419.60 is: 3,626.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,316.88 : 9,468.44 = 2,419.60 : x
  2. Step 2: Convert to fraction form
    6,316.88/9,468.44 = 2,419.60/x
  3. Step 3: Cross multiply
    6,316.88x = 9,468.44 × 2,419.60
  4. Step 4: Simplify right side
    6,316.88x = 22,909,837.42
  5. Step 5: Solve for x
    x = 22,909,837.42/6,316.88
  6. Step 6: Final answer
    x = 3,626.76

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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.