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Finding the Fourth Proportional to 9,469.12, 14,205.06 and 2,894.44

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Solution

The fourth proportional to 9,469.12, 14,205.06 and 2,894.44 is: 4,342.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,469.12 : 14,205.06 = 2,894.44 : x
  2. Step 2: Convert to fraction form
    9,469.12/14,205.06 = 2,894.44/x
  3. Step 3: Cross multiply
    9,469.12x = 14,205.06 × 2,894.44
  4. Step 4: Simplify right side
    9,469.12x = 41,115,693.87
  5. Step 5: Solve for x
    x = 41,115,693.87/9,469.12
  6. Step 6: Final answer
    x = 4,342.08

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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.