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Finding the Fourth Proportional to 9,205.68, 13,804.42 and 3,358.19

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Solution

The fourth proportional to 9,205.68, 13,804.42 and 3,358.19 is: 5,035.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,205.68 : 13,804.42 = 3,358.19 : x
  2. Step 2: Convert to fraction form
    9,205.68/13,804.42 = 3,358.19/x
  3. Step 3: Cross multiply
    9,205.68x = 13,804.42 × 3,358.19
  4. Step 4: Simplify right side
    9,205.68x = 46,357,822.29
  5. Step 5: Solve for x
    x = 46,357,822.29/9,205.68
  6. Step 6: Final answer
    x = 5,035.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.