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Finding the Fourth Proportional to 9,178.26, 13,749.03 and 4,241.22

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Solution

The fourth proportional to 9,178.26, 13,749.03 and 4,241.22 is: 6,353.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,178.26 : 13,749.03 = 4,241.22 : x
  2. Step 2: Convert to fraction form
    9,178.26/13,749.03 = 4,241.22/x
  3. Step 3: Cross multiply
    9,178.26x = 13,749.03 × 4,241.22
  4. Step 4: Simplify right side
    9,178.26x = 58,312,661.02
  5. Step 5: Solve for x
    x = 58,312,661.02/9,178.26
  6. Step 6: Final answer
    x = 6,353.35

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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.