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Finding the Fourth Proportional to 9,296.88, 13,938.80 and 3,451.92

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Solution

The fourth proportional to 9,296.88, 13,938.80 and 3,451.92 is: 5,175.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,296.88 : 13,938.80 = 3,451.92 : x
  2. Step 2: Convert to fraction form
    9,296.88/13,938.80 = 3,451.92/x
  3. Step 3: Cross multiply
    9,296.88x = 13,938.80 × 3,451.92
  4. Step 4: Simplify right side
    9,296.88x = 48,115,622.50
  5. Step 5: Solve for x
    x = 48,115,622.50/9,296.88
  6. Step 6: Final answer
    x = 5,175.46

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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.