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Finding the Fourth Proportional to 9,399.81, 12,965.87 and 6,047

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Solution

The fourth proportional to 9,399.81, 12,965.87 and 6,047 is: 8,341.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,399.81 : 12,965.87 = 6,047 : x
  2. Step 2: Convert to fraction form
    9,399.81/12,965.87 = 6,047/x
  3. Step 3: Cross multiply
    9,399.81x = 12,965.87 × 6,047
  4. Step 4: Simplify right side
    9,399.81x = 78,404,615.89
  5. Step 5: Solve for x
    x = 78,404,615.89/9,399.81
  6. Step 6: Final answer
    x = 8,341.09

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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.