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Finding the Fourth Proportional to 9,790.04, 13,511.94 and 5,811.32

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Solution

The fourth proportional to 9,790.04, 13,511.94 and 5,811.32 is: 8,020.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,790.04 : 13,511.94 = 5,811.32 : x
  2. Step 2: Convert to fraction form
    9,790.04/13,511.94 = 5,811.32/x
  3. Step 3: Cross multiply
    9,790.04x = 13,511.94 × 5,811.32
  4. Step 4: Simplify right side
    9,790.04x = 78,522,207.16
  5. Step 5: Solve for x
    x = 78,522,207.16/9,790.04
  6. Step 6: Final answer
    x = 8,020.62

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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.