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Finding the Fourth Proportional to 7,172.91, 9,897.93 and 4,188.60

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Solution

The fourth proportional to 7,172.91, 9,897.93 and 4,188.60 is: 5,779.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,172.91 : 9,897.93 = 4,188.60 : x
  2. Step 2: Convert to fraction form
    7,172.91/9,897.93 = 4,188.60/x
  3. Step 3: Cross multiply
    7,172.91x = 9,897.93 × 4,188.60
  4. Step 4: Simplify right side
    7,172.91x = 41,458,469.60
  5. Step 5: Solve for x
    x = 41,458,469.60/7,172.91
  6. Step 6: Final answer
    x = 5,779.87

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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.