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Finding the Fourth Proportional to 9,563.13, 14,341.05 and 4,016.25

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Solution

The fourth proportional to 9,563.13, 14,341.05 and 4,016.25 is: 6,022.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,563.13 : 14,341.05 = 4,016.25 : x
  2. Step 2: Convert to fraction form
    9,563.13/14,341.05 = 4,016.25/x
  3. Step 3: Cross multiply
    9,563.13x = 14,341.05 × 4,016.25
  4. Step 4: Simplify right side
    9,563.13x = 57,597,242.06
  5. Step 5: Solve for x
    x = 57,597,242.06/9,563.13
  6. Step 6: Final answer
    x = 6,022.84

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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.