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Finding the Fourth Proportional to 9,396.56, 14,097.60 and 2,823.75

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Solution

The fourth proportional to 9,396.56, 14,097.60 and 2,823.75 is: 4,236.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,396.56 : 14,097.60 = 2,823.75 : x
  2. Step 2: Convert to fraction form
    9,396.56/14,097.60 = 2,823.75/x
  3. Step 3: Cross multiply
    9,396.56x = 14,097.60 × 2,823.75
  4. Step 4: Simplify right side
    9,396.56x = 39,808,098
  5. Step 5: Solve for x
    x = 39,808,098/9,396.56
  6. Step 6: Final answer
    x = 4,236.46

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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.