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Finding the Fourth Proportional to 9,998.38, 13,787.42 and 8,586.74

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Solution

The fourth proportional to 9,998.38, 13,787.42 and 8,586.74 is: 11,840.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,998.38 : 13,787.42 = 8,586.74 : x
  2. Step 2: Convert to fraction form
    9,998.38/13,787.42 = 8,586.74/x
  3. Step 3: Cross multiply
    9,998.38x = 13,787.42 × 8,586.74
  4. Step 4: Simplify right side
    9,998.38x = 118,388,990.81
  5. Step 5: Solve for x
    x = 118,388,990.81/9,998.38
  6. Step 6: Final answer
    x = 11,840.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.