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Finding the Fourth Proportional to 9,299.34, 12,833.19 and 5,107.50

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Solution

The fourth proportional to 9,299.34, 12,833.19 and 5,107.50 is: 7,048.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,299.34 : 12,833.19 = 5,107.50 : x
  2. Step 2: Convert to fraction form
    9,299.34/12,833.19 = 5,107.50/x
  3. Step 3: Cross multiply
    9,299.34x = 12,833.19 × 5,107.50
  4. Step 4: Simplify right side
    9,299.34x = 65,545,517.93
  5. Step 5: Solve for x
    x = 65,545,517.93/9,299.34
  6. Step 6: Final answer
    x = 7,048.41

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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.