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Finding the Fourth Proportional to 9,786.09, 13,502.73 and 5,808.50

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Solution

The fourth proportional to 9,786.09, 13,502.73 and 5,808.50 is: 8,014.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,786.09 : 13,502.73 = 5,808.50 : x
  2. Step 2: Convert to fraction form
    9,786.09/13,502.73 = 5,808.50/x
  3. Step 3: Cross multiply
    9,786.09x = 13,502.73 × 5,808.50
  4. Step 4: Simplify right side
    9,786.09x = 78,430,607.21
  5. Step 5: Solve for x
    x = 78,430,607.21/9,786.09
  6. Step 6: Final answer
    x = 8,014.50

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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.