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Finding the Fourth Proportional to 9,269.21, 13,873.44 and 8,405.75

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Solution

The fourth proportional to 9,269.21, 13,873.44 and 8,405.75 is: 12,581.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,269.21 : 13,873.44 = 8,405.75 : x
  2. Step 2: Convert to fraction form
    9,269.21/13,873.44 = 8,405.75/x
  3. Step 3: Cross multiply
    9,269.21x = 13,873.44 × 8,405.75
  4. Step 4: Simplify right side
    9,269.21x = 116,616,668.28
  5. Step 5: Solve for x
    x = 116,616,668.28/9,269.21
  6. Step 6: Final answer
    x = 12,581.08

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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.