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Finding the Fourth Proportional to 9,496.87, 14,245.54 and 2,923.11

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Solution

The fourth proportional to 9,496.87, 14,245.54 and 2,923.11 is: 4,384.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,496.87 : 14,245.54 = 2,923.11 : x
  2. Step 2: Convert to fraction form
    9,496.87/14,245.54 = 2,923.11/x
  3. Step 3: Cross multiply
    9,496.87x = 14,245.54 × 2,923.11
  4. Step 4: Simplify right side
    9,496.87x = 41,641,273.12
  5. Step 5: Solve for x
    x = 41,641,273.12/9,496.87
  6. Step 6: Final answer
    x = 4,384.74

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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.