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Finding the Fourth Proportional to 9,651.87, 13,321.68 and 5,876.25

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Solution

The fourth proportional to 9,651.87, 13,321.68 and 5,876.25 is: 8,110.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,651.87 : 13,321.68 = 5,876.25 : x
  2. Step 2: Convert to fraction form
    9,651.87/13,321.68 = 5,876.25/x
  3. Step 3: Cross multiply
    9,651.87x = 13,321.68 × 5,876.25
  4. Step 4: Simplify right side
    9,651.87x = 78,281,522.10
  5. Step 5: Solve for x
    x = 78,281,522.10/9,651.87
  6. Step 6: Final answer
    x = 8,110.50

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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.