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Finding the Fourth Proportional to 6,994.12, 9,647.34 and 4,303.96

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Solution

The fourth proportional to 6,994.12, 9,647.34 and 4,303.96 is: 5,936.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,994.12 : 9,647.34 = 4,303.96 : x
  2. Step 2: Convert to fraction form
    6,994.12/9,647.34 = 4,303.96/x
  3. Step 3: Cross multiply
    6,994.12x = 9,647.34 × 4,303.96
  4. Step 4: Simplify right side
    6,994.12x = 41,521,765.47
  5. Step 5: Solve for x
    x = 41,521,765.47/6,994.12
  6. Step 6: Final answer
    x = 5,936.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.