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Finding the Fourth Proportional to 6,337.60, 9,495.60 and 5,408.80

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Solution

The fourth proportional to 6,337.60, 9,495.60 and 5,408.80 is: 8,103.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,337.60 : 9,495.60 = 5,408.80 : x
  2. Step 2: Convert to fraction form
    6,337.60/9,495.60 = 5,408.80/x
  3. Step 3: Cross multiply
    6,337.60x = 9,495.60 × 5,408.80
  4. Step 4: Simplify right side
    6,337.60x = 51,359,801.28
  5. Step 5: Solve for x
    x = 51,359,801.28/6,337.60
  6. Step 6: Final answer
    x = 8,103.98

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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.