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Finding the Fourth Proportional to 6,854.40, 9,453.50 and 4,729.44

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Solution

The fourth proportional to 6,854.40, 9,453.50 and 4,729.44 is: 6,522.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,854.40 : 9,453.50 = 4,729.44 : x
  2. Step 2: Convert to fraction form
    6,854.40/9,453.50 = 4,729.44/x
  3. Step 3: Cross multiply
    6,854.40x = 9,453.50 × 4,729.44
  4. Step 4: Simplify right side
    6,854.40x = 44,709,761.04
  5. Step 5: Solve for x
    x = 44,709,761.04/6,854.40
  6. Step 6: Final answer
    x = 6,522.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.