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Finding the Fourth Proportional to 9,299.63, 12,833.48 and 5,107.88

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Solution

The fourth proportional to 9,299.63, 12,833.48 and 5,107.88 is: 7,048.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,299.63 : 12,833.48 = 5,107.88 : x
  2. Step 2: Convert to fraction form
    9,299.63/12,833.48 = 5,107.88/x
  3. Step 3: Cross multiply
    9,299.63x = 12,833.48 × 5,107.88
  4. Step 4: Simplify right side
    9,299.63x = 65,551,824.42
  5. Step 5: Solve for x
    x = 65,551,824.42/9,299.63
  6. Step 6: Final answer
    x = 7,048.87

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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.