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Finding the Fourth Proportional to 6,456.35, 9,682.40 and 2,507.33

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Solution

The fourth proportional to 6,456.35, 9,682.40 and 2,507.33 is: 3,760.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,456.35 : 9,682.40 = 2,507.33 : x
  2. Step 2: Convert to fraction form
    6,456.35/9,682.40 = 2,507.33/x
  3. Step 3: Cross multiply
    6,456.35x = 9,682.40 × 2,507.33
  4. Step 4: Simplify right side
    6,456.35x = 24,276,971.99
  5. Step 5: Solve for x
    x = 24,276,971.99/6,456.35
  6. Step 6: Final answer
    x = 3,760.17

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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.