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Finding the Fourth Proportional to 9,896.89, 13,651.43 and 6,066.74

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Solution

The fourth proportional to 9,896.89, 13,651.43 and 6,066.74 is: 8,368.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,896.89 : 13,651.43 = 6,066.74 : x
  2. Step 2: Convert to fraction form
    9,896.89/13,651.43 = 6,066.74/x
  3. Step 3: Cross multiply
    9,896.89x = 13,651.43 × 6,066.74
  4. Step 4: Simplify right side
    9,896.89x = 82,819,676.44
  5. Step 5: Solve for x
    x = 82,819,676.44/9,896.89
  6. Step 6: Final answer
    x = 8,368.25

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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.