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Finding the Fourth Proportional to 9,262.58, 13,892.46 and 3,022.58

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Solution

The fourth proportional to 9,262.58, 13,892.46 and 3,022.58 is: 4,533.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,262.58 : 13,892.46 = 3,022.58 : x
  2. Step 2: Convert to fraction form
    9,262.58/13,892.46 = 3,022.58/x
  3. Step 3: Cross multiply
    9,262.58x = 13,892.46 × 3,022.58
  4. Step 4: Simplify right side
    9,262.58x = 41,991,071.75
  5. Step 5: Solve for x
    x = 41,991,071.75/9,262.58
  6. Step 6: Final answer
    x = 4,533.41

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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.