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Finding the Fourth Proportional to 9,299.34, 12,824.28 and 6,107.02

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Solution

The fourth proportional to 9,299.34, 12,824.28 and 6,107.02 is: 8,421.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,299.34 : 12,824.28 = 6,107.02 : x
  2. Step 2: Convert to fraction form
    9,299.34/12,824.28 = 6,107.02/x
  3. Step 3: Cross multiply
    9,299.34x = 12,824.28 × 6,107.02
  4. Step 4: Simplify right side
    9,299.34x = 78,318,102.38
  5. Step 5: Solve for x
    x = 78,318,102.38/9,299.34
  6. Step 6: Final answer
    x = 8,421.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.