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Finding the Fourth Proportional to 9,573.98, 14,361.84 and 4,026.29

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Solution

The fourth proportional to 9,573.98, 14,361.84 and 4,026.29 is: 6,039.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,573.98 : 14,361.84 = 4,026.29 : x
  2. Step 2: Convert to fraction form
    9,573.98/14,361.84 = 4,026.29/x
  3. Step 3: Cross multiply
    9,573.98x = 14,361.84 × 4,026.29
  4. Step 4: Simplify right side
    9,573.98x = 57,824,860.96
  5. Step 5: Solve for x
    x = 57,824,860.96/9,573.98
  6. Step 6: Final answer
    x = 6,039.80

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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.