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Finding the Fourth Proportional to 9,869.64, 13,617.81 and 5,889.96

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Solution

The fourth proportional to 9,869.64, 13,617.81 and 5,889.96 is: 8,126.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,869.64 : 13,617.81 = 5,889.96 : x
  2. Step 2: Convert to fraction form
    9,869.64/13,617.81 = 5,889.96/x
  3. Step 3: Cross multiply
    9,869.64x = 13,617.81 × 5,889.96
  4. Step 4: Simplify right side
    9,869.64x = 80,208,356.19
  5. Step 5: Solve for x
    x = 80,208,356.19/9,869.64
  6. Step 6: Final answer
    x = 8,126.78

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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.