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Finding the Fourth Proportional to 9,339.24, 13,994.25 and 7,946.85

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Solution

The fourth proportional to 9,339.24, 13,994.25 and 7,946.85 is: 11,907.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,339.24 : 13,994.25 = 7,946.85 : x
  2. Step 2: Convert to fraction form
    9,339.24/13,994.25 = 7,946.85/x
  3. Step 3: Cross multiply
    9,339.24x = 13,994.25 × 7,946.85
  4. Step 4: Simplify right side
    9,339.24x = 111,210,205.61
  5. Step 5: Solve for x
    x = 111,210,205.61/9,339.24
  6. Step 6: Final answer
    x = 11,907.84

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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.