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Finding the Fourth Proportional to 9,874.16, 14,817.09 and 3,638.55

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Solution

The fourth proportional to 9,874.16, 14,817.09 and 3,638.55 is: 5,459.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,874.16 : 14,817.09 = 3,638.55 : x
  2. Step 2: Convert to fraction form
    9,874.16/14,817.09 = 3,638.55/x
  3. Step 3: Cross multiply
    9,874.16x = 14,817.09 × 3,638.55
  4. Step 4: Simplify right side
    9,874.16x = 53,912,708.68
  5. Step 5: Solve for x
    x = 53,912,708.68/9,874.16
  6. Step 6: Final answer
    x = 5,459.98

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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.