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Finding the Fourth Proportional to 6,241.68, 9,346.32 and 3,643.20

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Solution

The fourth proportional to 6,241.68, 9,346.32 and 3,643.20 is: 5,455.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,241.68 : 9,346.32 = 3,643.20 : x
  2. Step 2: Convert to fraction form
    6,241.68/9,346.32 = 3,643.20/x
  3. Step 3: Cross multiply
    6,241.68x = 9,346.32 × 3,643.20
  4. Step 4: Simplify right side
    6,241.68x = 34,050,513.02
  5. Step 5: Solve for x
    x = 34,050,513.02/6,241.68
  6. Step 6: Final answer
    x = 5,455.34

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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.