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Finding the Fourth Proportional to 9,635.85, 14,453.82 and 4,087.80

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Solution

The fourth proportional to 9,635.85, 14,453.82 and 4,087.80 is: 6,131.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,635.85 : 14,453.82 = 4,087.80 : x
  2. Step 2: Convert to fraction form
    9,635.85/14,453.82 = 4,087.80/x
  3. Step 3: Cross multiply
    9,635.85x = 14,453.82 × 4,087.80
  4. Step 4: Simplify right side
    9,635.85x = 59,084,325.40
  5. Step 5: Solve for x
    x = 59,084,325.40/9,635.85
  6. Step 6: Final answer
    x = 6,131.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.