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Finding the Fourth Proportional to 9,095.85, 13,647.10 and 3,832.17

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Solution

The fourth proportional to 9,095.85, 13,647.10 and 3,832.17 is: 5,749.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,095.85 : 13,647.10 = 3,832.17 : x
  2. Step 2: Convert to fraction form
    9,095.85/13,647.10 = 3,832.17/x
  3. Step 3: Cross multiply
    9,095.85x = 13,647.10 × 3,832.17
  4. Step 4: Simplify right side
    9,095.85x = 52,298,007.21
  5. Step 5: Solve for x
    x = 52,298,007.21/9,095.85
  6. Step 6: Final answer
    x = 5,749.66

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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.