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Finding the Fourth Proportional to 9,471.08, 14,212.94 and 3,315.08

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Solution

The fourth proportional to 9,471.08, 14,212.94 and 3,315.08 is: 4,974.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,471.08 : 14,212.94 = 3,315.08 : x
  2. Step 2: Convert to fraction form
    9,471.08/14,212.94 = 3,315.08/x
  3. Step 3: Cross multiply
    9,471.08x = 14,212.94 × 3,315.08
  4. Step 4: Simplify right side
    9,471.08x = 47,117,033.14
  5. Step 5: Solve for x
    x = 47,117,033.14/9,471.08
  6. Step 6: Final answer
    x = 4,974.83

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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.