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Finding the Fourth Proportional to 6,463.10, 9,690.25 and 3,341.82

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Solution

The fourth proportional to 6,463.10, 9,690.25 and 3,341.82 is: 5,010.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,463.10 : 9,690.25 = 3,341.82 : x
  2. Step 2: Convert to fraction form
    6,463.10/9,690.25 = 3,341.82/x
  3. Step 3: Cross multiply
    6,463.10x = 9,690.25 × 3,341.82
  4. Step 4: Simplify right side
    6,463.10x = 32,383,071.26
  5. Step 5: Solve for x
    x = 32,383,071.26/6,463.10
  6. Step 6: Final answer
    x = 5,010.45

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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.