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Finding the Fourth Proportional to 8,864.25, 13,290.84 and 3,314.67

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Solution

The fourth proportional to 8,864.25, 13,290.84 and 3,314.67 is: 4,969.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,864.25 : 13,290.84 = 3,314.67 : x
  2. Step 2: Convert to fraction form
    8,864.25/13,290.84 = 3,314.67/x
  3. Step 3: Cross multiply
    8,864.25x = 13,290.84 × 3,314.67
  4. Step 4: Simplify right side
    8,864.25x = 44,054,748.62
  5. Step 5: Solve for x
    x = 44,054,748.62/8,864.25
  6. Step 6: Final answer
    x = 4,969.94

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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.