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Finding the Fourth Proportional to 9,563.85, 14,340.83 and 2,988.27

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Solution

The fourth proportional to 9,563.85, 14,340.83 and 2,988.27 is: 4,480.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,563.85 : 14,340.83 = 2,988.27 : x
  2. Step 2: Convert to fraction form
    9,563.85/14,340.83 = 2,988.27/x
  3. Step 3: Cross multiply
    9,563.85x = 14,340.83 × 2,988.27
  4. Step 4: Simplify right side
    9,563.85x = 42,854,257.12
  5. Step 5: Solve for x
    x = 42,854,257.12/9,563.85
  6. Step 6: Final answer
    x = 4,480.86

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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.