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Finding the Fourth Proportional to 9,401.66, 14,072.73 and 6,615.42

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Solution

The fourth proportional to 9,401.66, 14,072.73 and 6,615.42 is: 9,902.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,401.66 : 14,072.73 = 6,615.42 : x
  2. Step 2: Convert to fraction form
    9,401.66/14,072.73 = 6,615.42/x
  3. Step 3: Cross multiply
    9,401.66x = 14,072.73 × 6,615.42
  4. Step 4: Simplify right side
    9,401.66x = 93,097,019.50
  5. Step 5: Solve for x
    x = 93,097,019.50/9,401.66
  6. Step 6: Final answer
    x = 9,902.19

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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.