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Finding the Fourth Proportional to 6,305.78, 9,455.49 and 3,674.13

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Solution

The fourth proportional to 6,305.78, 9,455.49 and 3,674.13 is: 5,509.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,305.78 : 9,455.49 = 3,674.13 : x
  2. Step 2: Convert to fraction form
    6,305.78/9,455.49 = 3,674.13/x
  3. Step 3: Cross multiply
    6,305.78x = 9,455.49 × 3,674.13
  4. Step 4: Simplify right side
    6,305.78x = 34,740,699.47
  5. Step 5: Solve for x
    x = 34,740,699.47/6,305.78
  6. Step 6: Final answer
    x = 5,509.35

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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.