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Finding the Fourth Proportional to 9,839.58, 14,759.47 and 7,877.67

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Solution

The fourth proportional to 9,839.58, 14,759.47 and 7,877.67 is: 11,816.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,839.58 : 14,759.47 = 7,877.67 : x
  2. Step 2: Convert to fraction form
    9,839.58/14,759.47 = 7,877.67/x
  3. Step 3: Cross multiply
    9,839.58x = 14,759.47 × 7,877.67
  4. Step 4: Simplify right side
    9,839.58x = 116,270,234.03
  5. Step 5: Solve for x
    x = 116,270,234.03/9,839.58
  6. Step 6: Final answer
    x = 11,816.59

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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.