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Finding the Fourth Proportional to 6,097.35, 9,128.21 and 5,513.69

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Solution

The fourth proportional to 6,097.35, 9,128.21 and 5,513.69 is: 8,254.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,097.35 : 9,128.21 = 5,513.69 : x
  2. Step 2: Convert to fraction form
    6,097.35/9,128.21 = 5,513.69/x
  3. Step 3: Cross multiply
    6,097.35x = 9,128.21 × 5,513.69
  4. Step 4: Simplify right side
    6,097.35x = 50,330,115.45
  5. Step 5: Solve for x
    x = 50,330,115.45/6,097.35
  6. Step 6: Final answer
    x = 8,254.42

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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.