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Finding the Fourth Proportional to 9,134.57, 13,703.23 and 3,289.81

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Solution

The fourth proportional to 9,134.57, 13,703.23 and 3,289.81 is: 4,935.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,134.57 : 13,703.23 = 3,289.81 : x
  2. Step 2: Convert to fraction form
    9,134.57/13,703.23 = 3,289.81/x
  3. Step 3: Cross multiply
    9,134.57x = 13,703.23 × 3,289.81
  4. Step 4: Simplify right side
    9,134.57x = 45,081,023.09
  5. Step 5: Solve for x
    x = 45,081,023.09/9,134.57
  6. Step 6: Final answer
    x = 4,935.21

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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.