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Finding the Fourth Proportional to 9,134.64, 13,701.96 and 2,209.14

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Solution

The fourth proportional to 9,134.64, 13,701.96 and 2,209.14 is: 3,313.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,134.64 : 13,701.96 = 2,209.14 : x
  2. Step 2: Convert to fraction form
    9,134.64/13,701.96 = 2,209.14/x
  3. Step 3: Cross multiply
    9,134.64x = 13,701.96 × 2,209.14
  4. Step 4: Simplify right side
    9,134.64x = 30,269,547.91
  5. Step 5: Solve for x
    x = 30,269,547.91/9,134.64
  6. Step 6: Final answer
    x = 3,313.71

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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.