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Finding the Fourth Proportional to 9,566.91, 14,337.41 and 8,426.43

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Solution

The fourth proportional to 9,566.91, 14,337.41 and 8,426.43 is: 12,628.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,566.91 : 14,337.41 = 8,426.43 : x
  2. Step 2: Convert to fraction form
    9,566.91/14,337.41 = 8,426.43/x
  3. Step 3: Cross multiply
    9,566.91x = 14,337.41 × 8,426.43
  4. Step 4: Simplify right side
    9,566.91x = 120,813,139.61
  5. Step 5: Solve for x
    x = 120,813,139.61/9,566.91
  6. Step 6: Final answer
    x = 12,628.23

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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.