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Finding the Fourth Proportional to 7,172.72, 9,897.27 and 4,028.30

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Solution

The fourth proportional to 7,172.72, 9,897.27 and 4,028.30 is: 5,558.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,172.72 : 9,897.27 = 4,028.30 : x
  2. Step 2: Convert to fraction form
    7,172.72/9,897.27 = 4,028.30/x
  3. Step 3: Cross multiply
    7,172.72x = 9,897.27 × 4,028.30
  4. Step 4: Simplify right side
    7,172.72x = 39,869,123.25
  5. Step 5: Solve for x
    x = 39,869,123.25/7,172.72
  6. Step 6: Final answer
    x = 5,558.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.