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Finding the Fourth Proportional to 7,241.64, 9,994.30 and 4,410.67

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Solution

The fourth proportional to 7,241.64, 9,994.30 and 4,410.67 is: 6,087.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,241.64 : 9,994.30 = 4,410.67 : x
  2. Step 2: Convert to fraction form
    7,241.64/9,994.30 = 4,410.67/x
  3. Step 3: Cross multiply
    7,241.64x = 9,994.30 × 4,410.67
  4. Step 4: Simplify right side
    7,241.64x = 44,081,559.18
  5. Step 5: Solve for x
    x = 44,081,559.18/7,241.64
  6. Step 6: Final answer
    x = 6,087.23

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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.