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Finding the Fourth Proportional to 6,720.96, 9,284.40 and 5,385.43

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Solution

The fourth proportional to 6,720.96, 9,284.40 and 5,385.43 is: 7,439.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,720.96 : 9,284.40 = 5,385.43 : x
  2. Step 2: Convert to fraction form
    6,720.96/9,284.40 = 5,385.43/x
  3. Step 3: Cross multiply
    6,720.96x = 9,284.40 × 5,385.43
  4. Step 4: Simplify right side
    6,720.96x = 50,000,486.29
  5. Step 5: Solve for x
    x = 50,000,486.29/6,720.96
  6. Step 6: Final answer
    x = 7,439.49

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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.