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Finding the Fourth Proportional to 27,669, 41,504.22 and 9,201

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Solution

The fourth proportional to 27,669, 41,504.22 and 9,201 is: 13,801.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,669 : 41,504.22 = 9,201 : x
  2. Step 2: Convert to fraction form
    27,669/41,504.22 = 9,201/x
  3. Step 3: Cross multiply
    27,669x = 41,504.22 × 9,201
  4. Step 4: Simplify right side
    27,669x = 381,880,328.22
  5. Step 5: Solve for x
    x = 381,880,328.22/27,669
  6. Step 6: Final answer
    x = 13,801.74

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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.