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Finding the Fourth Proportional to 6,456.82, 9,672.54 and 4,258.84

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Solution

The fourth proportional to 6,456.82, 9,672.54 and 4,258.84 is: 6,379.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,456.82 : 9,672.54 = 4,258.84 : x
  2. Step 2: Convert to fraction form
    6,456.82/9,672.54 = 4,258.84/x
  3. Step 3: Cross multiply
    6,456.82x = 9,672.54 × 4,258.84
  4. Step 4: Simplify right side
    6,456.82x = 41,193,800.25
  5. Step 5: Solve for x
    x = 41,193,800.25/6,456.82
  6. Step 6: Final answer
    x = 6,379.89

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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.