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Finding the Fourth Proportional to 9,881.35, 13,636.44 and 5,902.81

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Solution

The fourth proportional to 9,881.35, 13,636.44 and 5,902.81 is: 8,145.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,881.35 : 13,636.44 = 5,902.81 : x
  2. Step 2: Convert to fraction form
    9,881.35/13,636.44 = 5,902.81/x
  3. Step 3: Cross multiply
    9,881.35x = 13,636.44 × 5,902.81
  4. Step 4: Simplify right side
    9,881.35x = 80,493,314.40
  5. Step 5: Solve for x
    x = 80,493,314.40/9,881.35
  6. Step 6: Final answer
    x = 8,145.98

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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.