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Finding the Fourth Proportional to 7,014.92, 9,682.25 and 4,032.49

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Solution

The fourth proportional to 7,014.92, 9,682.25 and 4,032.49 is: 5,565.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,014.92 : 9,682.25 = 4,032.49 : x
  2. Step 2: Convert to fraction form
    7,014.92/9,682.25 = 4,032.49/x
  3. Step 3: Cross multiply
    7,014.92x = 9,682.25 × 4,032.49
  4. Step 4: Simplify right side
    7,014.92x = 39,043,554.62
  5. Step 5: Solve for x
    x = 39,043,554.62/7,014.92
  6. Step 6: Final answer
    x = 5,565.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.