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Finding the Fourth Proportional to 9,751.08, 14,634.91 and 3,832.10

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Solution

The fourth proportional to 9,751.08, 14,634.91 and 3,832.10 is: 5,751.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,751.08 : 14,634.91 = 3,832.10 : x
  2. Step 2: Convert to fraction form
    9,751.08/14,634.91 = 3,832.10/x
  3. Step 3: Cross multiply
    9,751.08x = 14,634.91 × 3,832.10
  4. Step 4: Simplify right side
    9,751.08x = 56,082,438.61
  5. Step 5: Solve for x
    x = 56,082,438.61/9,751.08
  6. Step 6: Final answer
    x = 5,751.41

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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.