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Finding the Fourth Proportional to 6,335.96, 9,495.68 and 3,410.82

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Solution

The fourth proportional to 6,335.96, 9,495.68 and 3,410.82 is: 5,111.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,335.96 : 9,495.68 = 3,410.82 : x
  2. Step 2: Convert to fraction form
    6,335.96/9,495.68 = 3,410.82/x
  3. Step 3: Cross multiply
    6,335.96x = 9,495.68 × 3,410.82
  4. Step 4: Simplify right side
    6,335.96x = 32,388,038.20
  5. Step 5: Solve for x
    x = 32,388,038.20/6,335.96
  6. Step 6: Final answer
    x = 5,111.78

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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.