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Finding the Fourth Proportional to 9,638.45, 14,459.74 and 3,398.21

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Solution

The fourth proportional to 9,638.45, 14,459.74 and 3,398.21 is: 5,098.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,638.45 : 14,459.74 = 3,398.21 : x
  2. Step 2: Convert to fraction form
    9,638.45/14,459.74 = 3,398.21/x
  3. Step 3: Cross multiply
    9,638.45x = 14,459.74 × 3,398.21
  4. Step 4: Simplify right side
    9,638.45x = 49,137,233.07
  5. Step 5: Solve for x
    x = 49,137,233.07/9,638.45
  6. Step 6: Final answer
    x = 5,098.04

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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.