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Finding the Fourth Proportional to 9,789.82, 13,503.96 and 5,808.26

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Solution

The fourth proportional to 9,789.82, 13,503.96 and 5,808.26 is: 8,011.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,789.82 : 13,503.96 = 5,808.26 : x
  2. Step 2: Convert to fraction form
    9,789.82/13,503.96 = 5,808.26/x
  3. Step 3: Cross multiply
    9,789.82x = 13,503.96 × 5,808.26
  4. Step 4: Simplify right side
    9,789.82x = 78,434,510.71
  5. Step 5: Solve for x
    x = 78,434,510.71/9,789.82
  6. Step 6: Final answer
    x = 8,011.84

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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.