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Finding the Fourth Proportional to 6,105.40, 9,103.24 and 5,584.10

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Solution

The fourth proportional to 6,105.40, 9,103.24 and 5,584.10 is: 8,325.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,105.40 : 9,103.24 = 5,584.10 : x
  2. Step 2: Convert to fraction form
    6,105.40/9,103.24 = 5,584.10/x
  3. Step 3: Cross multiply
    6,105.40x = 9,103.24 × 5,584.10
  4. Step 4: Simplify right side
    6,105.40x = 50,833,421.75
  5. Step 5: Solve for x
    x = 50,833,421.75/6,105.40
  6. Step 6: Final answer
    x = 8,325.98

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.