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Finding the Fourth Proportional to 7,172.11, 9,897.80 and 3,985.38

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Solution

The fourth proportional to 7,172.11, 9,897.80 and 3,985.38 is: 5,499.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,172.11 : 9,897.80 = 3,985.38 : x
  2. Step 2: Convert to fraction form
    7,172.11/9,897.80 = 3,985.38/x
  3. Step 3: Cross multiply
    7,172.11x = 9,897.80 × 3,985.38
  4. Step 4: Simplify right side
    7,172.11x = 39,446,490.33
  5. Step 5: Solve for x
    x = 39,446,490.33/7,172.11
  6. Step 6: Final answer
    x = 5,499.99

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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.