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Finding the Fourth Proportional to 9,651.86, 13,321.63 and 5,876.27

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Solution

The fourth proportional to 9,651.86, 13,321.63 and 5,876.27 is: 8,110.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,651.86 : 13,321.63 = 5,876.27 : x
  2. Step 2: Convert to fraction form
    9,651.86/13,321.63 = 5,876.27/x
  3. Step 3: Cross multiply
    9,651.86x = 13,321.63 × 5,876.27
  4. Step 4: Simplify right side
    9,651.86x = 78,281,428.11
  5. Step 5: Solve for x
    x = 78,281,428.11/9,651.86
  6. Step 6: Final answer
    x = 8,110.51

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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.