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Finding the Fourth Proportional to 9,847.56, 14,776.86 and 5,230.44

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Solution

The fourth proportional to 9,847.56, 14,776.86 and 5,230.44 is: 7,848.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,847.56 : 14,776.86 = 5,230.44 : x
  2. Step 2: Convert to fraction form
    9,847.56/14,776.86 = 5,230.44/x
  3. Step 3: Cross multiply
    9,847.56x = 14,776.86 × 5,230.44
  4. Step 4: Simplify right side
    9,847.56x = 77,289,479.62
  5. Step 5: Solve for x
    x = 77,289,479.62/9,847.56
  6. Step 6: Final answer
    x = 7,848.59

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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.