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Finding the Fourth Proportional to 6,354.36, 9,511.74 and 3,425.40

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Solution

The fourth proportional to 6,354.36, 9,511.74 and 3,425.40 is: 5,127.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,354.36 : 9,511.74 = 3,425.40 : x
  2. Step 2: Convert to fraction form
    6,354.36/9,511.74 = 3,425.40/x
  3. Step 3: Cross multiply
    6,354.36x = 9,511.74 × 3,425.40
  4. Step 4: Simplify right side
    6,354.36x = 32,581,514.20
  5. Step 5: Solve for x
    x = 32,581,514.20/6,354.36
  6. Step 6: Final answer
    x = 5,127.43

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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.