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Finding the Fourth Proportional to 9,396.36, 14,096.40 and 4,202.28

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Solution

The fourth proportional to 9,396.36, 14,096.40 and 4,202.28 is: 6,304.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,396.36 : 14,096.40 = 4,202.28 : x
  2. Step 2: Convert to fraction form
    9,396.36/14,096.40 = 4,202.28/x
  3. Step 3: Cross multiply
    9,396.36x = 14,096.40 × 4,202.28
  4. Step 4: Simplify right side
    9,396.36x = 59,237,019.79
  5. Step 5: Solve for x
    x = 59,237,019.79/9,396.36
  6. Step 6: Final answer
    x = 6,304.25

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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.