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Finding the Fourth Proportional to 9,672.90, 14,542.16 and 7,723.43

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Solution

The fourth proportional to 9,672.90, 14,542.16 and 7,723.43 is: 11,611.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,672.90 : 14,542.16 = 7,723.43 : x
  2. Step 2: Convert to fraction form
    9,672.90/14,542.16 = 7,723.43/x
  3. Step 3: Cross multiply
    9,672.90x = 14,542.16 × 7,723.43
  4. Step 4: Simplify right side
    9,672.90x = 112,315,352.55
  5. Step 5: Solve for x
    x = 112,315,352.55/9,672.90
  6. Step 6: Final answer
    x = 11,611.34

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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.