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Finding the Fourth Proportional to 7,172.30, 9,897.62 and 3,985.61

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Solution

The fourth proportional to 7,172.30, 9,897.62 and 3,985.61 is: 5,500.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,172.30 : 9,897.62 = 3,985.61 : x
  2. Step 2: Convert to fraction form
    7,172.30/9,897.62 = 3,985.61/x
  3. Step 3: Cross multiply
    7,172.30x = 9,897.62 × 3,985.61
  4. Step 4: Simplify right side
    7,172.30x = 39,447,983.83
  5. Step 5: Solve for x
    x = 39,447,983.83/7,172.30
  6. Step 6: Final answer
    x = 5,500.05

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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.