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Finding the Fourth Proportional to 9,568.36, 13,186.98 and 7,204.84

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Solution

The fourth proportional to 9,568.36, 13,186.98 and 7,204.84 is: 9,929.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,568.36 : 13,186.98 = 7,204.84 : x
  2. Step 2: Convert to fraction form
    9,568.36/13,186.98 = 7,204.84/x
  3. Step 3: Cross multiply
    9,568.36x = 13,186.98 × 7,204.84
  4. Step 4: Simplify right side
    9,568.36x = 95,010,080.98
  5. Step 5: Solve for x
    x = 95,010,080.98/9,568.36
  6. Step 6: Final answer
    x = 9,929.61

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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.