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Finding the Fourth Proportional to 9,076.43, 13,606.43 and 6,304.40

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Solution

The fourth proportional to 9,076.43, 13,606.43 and 6,304.40 is: 9,450.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,076.43 : 13,606.43 = 6,304.40 : x
  2. Step 2: Convert to fraction form
    9,076.43/13,606.43 = 6,304.40/x
  3. Step 3: Cross multiply
    9,076.43x = 13,606.43 × 6,304.40
  4. Step 4: Simplify right side
    9,076.43x = 85,780,377.29
  5. Step 5: Solve for x
    x = 85,780,377.29/9,076.43
  6. Step 6: Final answer
    x = 9,450.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.