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Finding the Fourth Proportional to 9,158.58, 13,736.33 and 2,583.22

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Solution

The fourth proportional to 9,158.58, 13,736.33 and 2,583.22 is: 3,874.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,158.58 : 13,736.33 = 2,583.22 : x
  2. Step 2: Convert to fraction form
    9,158.58/13,736.33 = 2,583.22/x
  3. Step 3: Cross multiply
    9,158.58x = 13,736.33 × 2,583.22
  4. Step 4: Simplify right side
    9,158.58x = 35,483,962.38
  5. Step 5: Solve for x
    x = 35,483,962.38/9,158.58
  6. Step 6: Final answer
    x = 3,874.40

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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.