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Finding the Fourth Proportional to 7,172.87, 9,897.68 and 4,186.54

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Solution

The fourth proportional to 7,172.87, 9,897.68 and 4,186.54 is: 5,776.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,172.87 : 9,897.68 = 4,186.54 : x
  2. Step 2: Convert to fraction form
    7,172.87/9,897.68 = 4,186.54/x
  3. Step 3: Cross multiply
    7,172.87x = 9,897.68 × 4,186.54
  4. Step 4: Simplify right side
    7,172.87x = 41,437,018.95
  5. Step 5: Solve for x
    x = 41,437,018.95/7,172.87
  6. Step 6: Final answer
    x = 5,776.91

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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.