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Finding the Fourth Proportional to 7,225.82, 9,971.60 and 4,039.11

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Solution

The fourth proportional to 7,225.82, 9,971.60 and 4,039.11 is: 5,573.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,225.82 : 9,971.60 = 4,039.11 : x
  2. Step 2: Convert to fraction form
    7,225.82/9,971.60 = 4,039.11/x
  3. Step 3: Cross multiply
    7,225.82x = 9,971.60 × 4,039.11
  4. Step 4: Simplify right side
    7,225.82x = 40,276,389.28
  5. Step 5: Solve for x
    x = 40,276,389.28/7,225.82
  6. Step 6: Final answer
    x = 5,573.95

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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.