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Finding the Fourth Proportional to 9,516.84, 14,297.16 and 6,750.36

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Solution

The fourth proportional to 9,516.84, 14,297.16 and 6,750.36 is: 10,141.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,516.84 : 14,297.16 = 6,750.36 : x
  2. Step 2: Convert to fraction form
    9,516.84/14,297.16 = 6,750.36/x
  3. Step 3: Cross multiply
    9,516.84x = 14,297.16 × 6,750.36
  4. Step 4: Simplify right side
    9,516.84x = 96,510,976.98
  5. Step 5: Solve for x
    x = 96,510,976.98/9,516.84
  6. Step 6: Final answer
    x = 10,141.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.