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Finding the Fourth Proportional to 9,588.83, 13,239 and 8,577.36

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Solution

The fourth proportional to 9,588.83, 13,239 and 8,577.36 is: 11,842.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,588.83 : 13,239 = 8,577.36 : x
  2. Step 2: Convert to fraction form
    9,588.83/13,239 = 8,577.36/x
  3. Step 3: Cross multiply
    9,588.83x = 13,239 × 8,577.36
  4. Step 4: Simplify right side
    9,588.83x = 113,555,669.04
  5. Step 5: Solve for x
    x = 113,555,669.04/9,588.83
  6. Step 6: Final answer
    x = 11,842.50

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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.