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Finding the Fourth Proportional to 9,223.56, 12,639.90 and 8,337.88

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Solution

The fourth proportional to 9,223.56, 12,639.90 and 8,337.88 is: 11,426.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,223.56 : 12,639.90 = 8,337.88 : x
  2. Step 2: Convert to fraction form
    9,223.56/12,639.90 = 8,337.88/x
  3. Step 3: Cross multiply
    9,223.56x = 12,639.90 × 8,337.88
  4. Step 4: Simplify right side
    9,223.56x = 105,389,969.41
  5. Step 5: Solve for x
    x = 105,389,969.41/9,223.56
  6. Step 6: Final answer
    x = 11,426.17

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.