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Finding the Fourth Proportional to 9,847.35, 14,747.54 and 5,678.64

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Solution

The fourth proportional to 9,847.35, 14,747.54 and 5,678.64 is: 8,504.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,847.35 : 14,747.54 = 5,678.64 : x
  2. Step 2: Convert to fraction form
    9,847.35/14,747.54 = 5,678.64/x
  3. Step 3: Cross multiply
    9,847.35x = 14,747.54 × 5,678.64
  4. Step 4: Simplify right side
    9,847.35x = 83,745,942.15
  5. Step 5: Solve for x
    x = 83,745,942.15/9,847.35
  6. Step 6: Final answer
    x = 8,504.41

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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.