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Finding the Fourth Proportional to 9,600.39, 13,236.59 and 8,009.35

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Solution

The fourth proportional to 9,600.39, 13,236.59 and 8,009.35 is: 11,042.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,600.39 : 13,236.59 = 8,009.35 : x
  2. Step 2: Convert to fraction form
    9,600.39/13,236.59 = 8,009.35/x
  3. Step 3: Cross multiply
    9,600.39x = 13,236.59 × 8,009.35
  4. Step 4: Simplify right side
    9,600.39x = 106,016,482.12
  5. Step 5: Solve for x
    x = 106,016,482.12/9,600.39
  6. Step 6: Final answer
    x = 11,042.93

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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.