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Finding the Fourth Proportional to 9,847.38, 14,766.14 and 3,271.26

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Solution

The fourth proportional to 9,847.38, 14,766.14 and 3,271.26 is: 4,905.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,847.38 : 14,766.14 = 3,271.26 : x
  2. Step 2: Convert to fraction form
    9,847.38/14,766.14 = 3,271.26/x
  3. Step 3: Cross multiply
    9,847.38x = 14,766.14 × 3,271.26
  4. Step 4: Simplify right side
    9,847.38x = 48,303,866.78
  5. Step 5: Solve for x
    x = 48,303,866.78/9,847.38
  6. Step 6: Final answer
    x = 4,905.25

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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.