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Finding the Fourth Proportional to 9,599.61, 14,401.32 and 3,361.41

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Solution

The fourth proportional to 9,599.61, 14,401.32 and 3,361.41 is: 5,042.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,599.61 : 14,401.32 = 3,361.41 : x
  2. Step 2: Convert to fraction form
    9,599.61/14,401.32 = 3,361.41/x
  3. Step 3: Cross multiply
    9,599.61x = 14,401.32 × 3,361.41
  4. Step 4: Simplify right side
    9,599.61x = 48,408,741.06
  5. Step 5: Solve for x
    x = 48,408,741.06/9,599.61
  6. Step 6: Final answer
    x = 5,042.78

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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.