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Finding the Fourth Proportional to 6,309.78, 9,461.49 and 3,678.13

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Solution

The fourth proportional to 6,309.78, 9,461.49 and 3,678.13 is: 5,515.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,309.78 : 9,461.49 = 3,678.13 : x
  2. Step 2: Convert to fraction form
    6,309.78/9,461.49 = 3,678.13/x
  3. Step 3: Cross multiply
    6,309.78x = 9,461.49 × 3,678.13
  4. Step 4: Simplify right side
    6,309.78x = 34,800,590.21
  5. Step 5: Solve for x
    x = 34,800,590.21/6,309.78
  6. Step 6: Final answer
    x = 5,515.34

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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.