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Finding the Fourth Proportional to 9,885.40, 13,636.02 and 6,855.80

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Solution

The fourth proportional to 9,885.40, 13,636.02 and 6,855.80 is: 9,456.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,885.40 : 13,636.02 = 6,855.80 : x
  2. Step 2: Convert to fraction form
    9,885.40/13,636.02 = 6,855.80/x
  3. Step 3: Cross multiply
    9,885.40x = 13,636.02 × 6,855.80
  4. Step 4: Simplify right side
    9,885.40x = 93,485,825.92
  5. Step 5: Solve for x
    x = 93,485,825.92/9,885.40
  6. Step 6: Final answer
    x = 9,456.96

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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.