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Finding the Fourth Proportional to 6,114.38, 9,172.14 and 1,897.66

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Solution

The fourth proportional to 6,114.38, 9,172.14 and 1,897.66 is: 2,846.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,114.38 : 9,172.14 = 1,897.66 : x
  2. Step 2: Convert to fraction form
    6,114.38/9,172.14 = 1,897.66/x
  3. Step 3: Cross multiply
    6,114.38x = 9,172.14 × 1,897.66
  4. Step 4: Simplify right side
    6,114.38x = 17,405,593.70
  5. Step 5: Solve for x
    x = 17,405,593.70/6,114.38
  6. Step 6: Final answer
    x = 2,846.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.