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Finding the Fourth Proportional to 7,172.40, 9,897.72 and 4,028.78

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Solution

The fourth proportional to 7,172.40, 9,897.72 and 4,028.78 is: 5,559.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,172.40 : 9,897.72 = 4,028.78 : x
  2. Step 2: Convert to fraction form
    7,172.40/9,897.72 = 4,028.78/x
  3. Step 3: Cross multiply
    7,172.40x = 9,897.72 × 4,028.78
  4. Step 4: Simplify right side
    7,172.40x = 39,875,736.38
  5. Step 5: Solve for x
    x = 39,875,736.38/7,172.40
  6. Step 6: Final answer
    x = 5,559.61

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Why These Related Problems?

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