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Finding the Fourth Proportional to 9,496.36, 14,211.73 and 6,562.14

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Solution

The fourth proportional to 9,496.36, 14,211.73 and 6,562.14 is: 9,820.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,496.36 : 14,211.73 = 6,562.14 : x
  2. Step 2: Convert to fraction form
    9,496.36/14,211.73 = 6,562.14/x
  3. Step 3: Cross multiply
    9,496.36x = 14,211.73 × 6,562.14
  4. Step 4: Simplify right side
    9,496.36x = 93,259,361.90
  5. Step 5: Solve for x
    x = 93,259,361.90/9,496.36
  6. Step 6: Final answer
    x = 9,820.54

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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.