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Finding the Fourth Proportional to 9,912.80, 14,864.36 and 4,909.38

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Solution

The fourth proportional to 9,912.80, 14,864.36 and 4,909.38 is: 7,361.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,912.80 : 14,864.36 = 4,909.38 : x
  2. Step 2: Convert to fraction form
    9,912.80/14,864.36 = 4,909.38/x
  3. Step 3: Cross multiply
    9,912.80x = 14,864.36 × 4,909.38
  4. Step 4: Simplify right side
    9,912.80x = 72,974,767.15
  5. Step 5: Solve for x
    x = 72,974,767.15/9,912.80
  6. Step 6: Final answer
    x = 7,361.67

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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.