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Finding the Fourth Proportional to 9,768.56, 14,647.32 and 3,847.28

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Solution

The fourth proportional to 9,768.56, 14,647.32 and 3,847.28 is: 5,768.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,768.56 : 14,647.32 = 3,847.28 : x
  2. Step 2: Convert to fraction form
    9,768.56/14,647.32 = 3,847.28/x
  3. Step 3: Cross multiply
    9,768.56x = 14,647.32 × 3,847.28
  4. Step 4: Simplify right side
    9,768.56x = 56,352,341.29
  5. Step 5: Solve for x
    x = 56,352,341.29/9,768.56
  6. Step 6: Final answer
    x = 5,768.75

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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.