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Finding the Fourth Proportional to 6,335.28, 9,495.62 and 3,407.43

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Solution

The fourth proportional to 6,335.28, 9,495.62 and 3,407.43 is: 5,107.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,335.28 : 9,495.62 = 3,407.43 : x
  2. Step 2: Convert to fraction form
    6,335.28/9,495.62 = 3,407.43/x
  3. Step 3: Cross multiply
    6,335.28x = 9,495.62 × 3,407.43
  4. Step 4: Simplify right side
    6,335.28x = 32,355,643.42
  5. Step 5: Solve for x
    x = 32,355,643.42/6,335.28
  6. Step 6: Final answer
    x = 5,107.22

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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.