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Finding the Fourth Proportional to 7,104.41, 9,804.14 and 3,960.80

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Solution

The fourth proportional to 7,104.41, 9,804.14 and 3,960.80 is: 5,465.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,104.41 : 9,804.14 = 3,960.80 : x
  2. Step 2: Convert to fraction form
    7,104.41/9,804.14 = 3,960.80/x
  3. Step 3: Cross multiply
    7,104.41x = 9,804.14 × 3,960.80
  4. Step 4: Simplify right side
    7,104.41x = 38,832,168.89
  5. Step 5: Solve for x
    x = 38,832,168.89/7,104.41
  6. Step 6: Final answer
    x = 5,465.93

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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.