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Finding the Fourth Proportional to 9,896.96, 14,811.06 and 6,147.20

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Solution

The fourth proportional to 9,896.96, 14,811.06 and 6,147.20 is: 9,199.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,896.96 : 14,811.06 = 6,147.20 : x
  2. Step 2: Convert to fraction form
    9,896.96/14,811.06 = 6,147.20/x
  3. Step 3: Cross multiply
    9,896.96x = 14,811.06 × 6,147.20
  4. Step 4: Simplify right side
    9,896.96x = 91,046,548.03
  5. Step 5: Solve for x
    x = 91,046,548.03/9,896.96
  6. Step 6: Final answer
    x = 9,199.45

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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.