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Finding the Fourth Proportional to 9,143.44, 13,710.84 and 4,211.62

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Solution

The fourth proportional to 9,143.44, 13,710.84 and 4,211.62 is: 6,315.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,143.44 : 13,710.84 = 4,211.62 : x
  2. Step 2: Convert to fraction form
    9,143.44/13,710.84 = 4,211.62/x
  3. Step 3: Cross multiply
    9,143.44x = 13,710.84 × 4,211.62
  4. Step 4: Simplify right side
    9,143.44x = 57,744,847.96
  5. Step 5: Solve for x
    x = 57,744,847.96/9,143.44
  6. Step 6: Final answer
    x = 6,315.44

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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.