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Finding the Fourth Proportional to 9,847.89, 14,778 and 5,104.53

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Solution

The fourth proportional to 9,847.89, 14,778 and 5,104.53 is: 7,659.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,847.89 : 14,778 = 5,104.53 : x
  2. Step 2: Convert to fraction form
    9,847.89/14,778 = 5,104.53/x
  3. Step 3: Cross multiply
    9,847.89x = 14,778 × 5,104.53
  4. Step 4: Simplify right side
    9,847.89x = 75,434,744.34
  5. Step 5: Solve for x
    x = 75,434,744.34/9,847.89
  6. Step 6: Final answer
    x = 7,659.99

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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.