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Finding the Fourth Proportional to 9,638.12, 13,308.14 and 7,396.44

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Solution

The fourth proportional to 9,638.12, 13,308.14 and 7,396.44 is: 10,212.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,638.12 : 13,308.14 = 7,396.44 : x
  2. Step 2: Convert to fraction form
    9,638.12/13,308.14 = 7,396.44/x
  3. Step 3: Cross multiply
    9,638.12x = 13,308.14 × 7,396.44
  4. Step 4: Simplify right side
    9,638.12x = 98,432,888.60
  5. Step 5: Solve for x
    x = 98,432,888.60/9,638.12
  6. Step 6: Final answer
    x = 10,212.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.