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Finding the Fourth Proportional to 9,563.37, 14,346.41 and 4,017.03

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Solution

The fourth proportional to 9,563.37, 14,346.41 and 4,017.03 is: 6,026.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,563.37 : 14,346.41 = 4,017.03 : x
  2. Step 2: Convert to fraction form
    9,563.37/14,346.41 = 4,017.03/x
  3. Step 3: Cross multiply
    9,563.37x = 14,346.41 × 4,017.03
  4. Step 4: Simplify right side
    9,563.37x = 57,629,939.28
  5. Step 5: Solve for x
    x = 57,629,939.28/9,563.37
  6. Step 6: Final answer
    x = 6,026.11

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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.