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Finding the Fourth Proportional to 9,745.30, 14,625.15 and 3,906.10

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Solution

The fourth proportional to 9,745.30, 14,625.15 and 3,906.10 is: 5,862.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,745.30 : 14,625.15 = 3,906.10 : x
  2. Step 2: Convert to fraction form
    9,745.30/14,625.15 = 3,906.10/x
  3. Step 3: Cross multiply
    9,745.30x = 14,625.15 × 3,906.10
  4. Step 4: Simplify right side
    9,745.30x = 57,127,298.42
  5. Step 5: Solve for x
    x = 57,127,298.42/9,745.30
  6. Step 6: Final answer
    x = 5,862.04

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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.