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Finding the Fourth Proportional to 9,299.64, 12,833.74 and 5,107.90

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Solution

The fourth proportional to 9,299.64, 12,833.74 and 5,107.90 is: 7,049.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,299.64 : 12,833.74 = 5,107.90 : x
  2. Step 2: Convert to fraction form
    9,299.64/12,833.74 = 5,107.90/x
  3. Step 3: Cross multiply
    9,299.64x = 12,833.74 × 5,107.90
  4. Step 4: Simplify right side
    9,299.64x = 65,553,460.55
  5. Step 5: Solve for x
    x = 65,553,460.55/9,299.64
  6. Step 6: Final answer
    x = 7,049.03

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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.