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Finding the Fourth Proportional to 9,881.81, 13,638.17 and 6,106.80

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Solution

The fourth proportional to 9,881.81, 13,638.17 and 6,106.80 is: 8,428.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,881.81 : 13,638.17 = 6,106.80 : x
  2. Step 2: Convert to fraction form
    9,881.81/13,638.17 = 6,106.80/x
  3. Step 3: Cross multiply
    9,881.81x = 13,638.17 × 6,106.80
  4. Step 4: Simplify right side
    9,881.81x = 83,285,546.02
  5. Step 5: Solve for x
    x = 83,285,546.02/9,881.81
  6. Step 6: Final answer
    x = 8,428.17

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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.