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Finding the Fourth Proportional to 9,225.08, 13,832.76 and 4,028.12

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Solution

The fourth proportional to 9,225.08, 13,832.76 and 4,028.12 is: 6,040.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,225.08 : 13,832.76 = 4,028.12 : x
  2. Step 2: Convert to fraction form
    9,225.08/13,832.76 = 4,028.12/x
  3. Step 3: Cross multiply
    9,225.08x = 13,832.76 × 4,028.12
  4. Step 4: Simplify right side
    9,225.08x = 55,720,017.21
  5. Step 5: Solve for x
    x = 55,720,017.21/9,225.08
  6. Step 6: Final answer
    x = 6,040.06

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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.