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Finding the Fourth Proportional to 6,535.12, 9,784.41 and 3,408.28

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Solution

The fourth proportional to 6,535.12, 9,784.41 and 3,408.28 is: 5,102.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,535.12 : 9,784.41 = 3,408.28 : x
  2. Step 2: Convert to fraction form
    6,535.12/9,784.41 = 3,408.28/x
  3. Step 3: Cross multiply
    6,535.12x = 9,784.41 × 3,408.28
  4. Step 4: Simplify right side
    6,535.12x = 33,348,008.91
  5. Step 5: Solve for x
    x = 33,348,008.91/6,535.12
  6. Step 6: Final answer
    x = 5,102.89

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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.