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Finding the Fourth Proportional to 9,247.68, 13,868.04 and 3,006.09

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Solution

The fourth proportional to 9,247.68, 13,868.04 and 3,006.09 is: 4,508.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,247.68 : 13,868.04 = 3,006.09 : x
  2. Step 2: Convert to fraction form
    9,247.68/13,868.04 = 3,006.09/x
  3. Step 3: Cross multiply
    9,247.68x = 13,868.04 × 3,006.09
  4. Step 4: Simplify right side
    9,247.68x = 41,688,576.36
  5. Step 5: Solve for x
    x = 41,688,576.36/9,247.68
  6. Step 6: Final answer
    x = 4,508.00

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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.