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Finding the Fourth Proportional to 9,464.85, 14,193.12 and 3,223.14

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Solution

The fourth proportional to 9,464.85, 14,193.12 and 3,223.14 is: 4,833.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,464.85 : 14,193.12 = 3,223.14 : x
  2. Step 2: Convert to fraction form
    9,464.85/14,193.12 = 3,223.14/x
  3. Step 3: Cross multiply
    9,464.85x = 14,193.12 × 3,223.14
  4. Step 4: Simplify right side
    9,464.85x = 45,746,451.50
  5. Step 5: Solve for x
    x = 45,746,451.50/9,464.85
  6. Step 6: Final answer
    x = 4,833.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.