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Finding the Fourth Proportional to 9,146.79, 13,722.12 and 3,223.44

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Solution

The fourth proportional to 9,146.79, 13,722.12 and 3,223.44 is: 4,835.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,146.79 : 13,722.12 = 3,223.44 : x
  2. Step 2: Convert to fraction form
    9,146.79/13,722.12 = 3,223.44/x
  3. Step 3: Cross multiply
    9,146.79x = 13,722.12 × 3,223.44
  4. Step 4: Simplify right side
    9,146.79x = 44,232,430.49
  5. Step 5: Solve for x
    x = 44,232,430.49/9,146.79
  6. Step 6: Final answer
    x = 4,835.84

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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.