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Finding the Fourth Proportional to 9,097.28, 13,651.68 and 5,209.28

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Solution

The fourth proportional to 9,097.28, 13,651.68 and 5,209.28 is: 7,817.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,097.28 : 13,651.68 = 5,209.28 : x
  2. Step 2: Convert to fraction form
    9,097.28/13,651.68 = 5,209.28/x
  3. Step 3: Cross multiply
    9,097.28x = 13,651.68 × 5,209.28
  4. Step 4: Simplify right side
    9,097.28x = 71,115,423.59
  5. Step 5: Solve for x
    x = 71,115,423.59/9,097.28
  6. Step 6: Final answer
    x = 7,817.22

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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.