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Finding the Fourth Proportional to 9,790.08, 13,505.92 and 5,808.96

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Solution

The fourth proportional to 9,790.08, 13,505.92 and 5,808.96 is: 8,013.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,790.08 : 13,505.92 = 5,808.96 : x
  2. Step 2: Convert to fraction form
    9,790.08/13,505.92 = 5,808.96/x
  3. Step 3: Cross multiply
    9,790.08x = 13,505.92 × 5,808.96
  4. Step 4: Simplify right side
    9,790.08x = 78,455,349.04
  5. Step 5: Solve for x
    x = 78,455,349.04/9,790.08
  6. Step 6: Final answer
    x = 8,013.76

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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.