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Finding the Fourth Proportional to 7,104.29, 9,804.36 and 3,917.57

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Solution

The fourth proportional to 7,104.29, 9,804.36 and 3,917.57 is: 5,406.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,104.29 : 9,804.36 = 3,917.57 : x
  2. Step 2: Convert to fraction form
    7,104.29/9,804.36 = 3,917.57/x
  3. Step 3: Cross multiply
    7,104.29x = 9,804.36 × 3,917.57
  4. Step 4: Simplify right side
    7,104.29x = 38,409,217.58
  5. Step 5: Solve for x
    x = 38,409,217.58/7,104.29
  6. Step 6: Final answer
    x = 5,406.49

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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.