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Finding the Fourth Proportional to 9,765.56, 13,468.68 and 6,314.96

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Solution

The fourth proportional to 9,765.56, 13,468.68 and 6,314.96 is: 8,709.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,765.56 : 13,468.68 = 6,314.96 : x
  2. Step 2: Convert to fraction form
    9,765.56/13,468.68 = 6,314.96/x
  3. Step 3: Cross multiply
    9,765.56x = 13,468.68 × 6,314.96
  4. Step 4: Simplify right side
    9,765.56x = 85,054,209.12
  5. Step 5: Solve for x
    x = 85,054,209.12/9,765.56
  6. Step 6: Final answer
    x = 8,709.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.