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Finding the Fourth Proportional to 9,494, 14,240.57 and 2,919.90

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Solution

The fourth proportional to 9,494, 14,240.57 and 2,919.90 is: 4,379.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,494 : 14,240.57 = 2,919.90 : x
  2. Step 2: Convert to fraction form
    9,494/14,240.57 = 2,919.90/x
  3. Step 3: Cross multiply
    9,494x = 14,240.57 × 2,919.90
  4. Step 4: Simplify right side
    9,494x = 41,581,040.34
  5. Step 5: Solve for x
    x = 41,581,040.34/9,494
  6. Step 6: Final answer
    x = 4,379.72

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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.