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Finding the Fourth Proportional to 9,355.49, 14,033.21 and 3,807.60

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Solution

The fourth proportional to 9,355.49, 14,033.21 and 3,807.60 is: 5,711.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,355.49 : 14,033.21 = 3,807.60 : x
  2. Step 2: Convert to fraction form
    9,355.49/14,033.21 = 3,807.60/x
  3. Step 3: Cross multiply
    9,355.49x = 14,033.21 × 3,807.60
  4. Step 4: Simplify right side
    9,355.49x = 53,432,850.40
  5. Step 5: Solve for x
    x = 53,432,850.40/9,355.49
  6. Step 6: Final answer
    x = 5,711.39

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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.