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Finding the Fourth Proportional to 6,305.82, 9,455.58 and 3,674.24

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Solution

The fourth proportional to 6,305.82, 9,455.58 and 3,674.24 is: 5,509.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,305.82 : 9,455.58 = 3,674.24 : x
  2. Step 2: Convert to fraction form
    6,305.82/9,455.58 = 3,674.24/x
  3. Step 3: Cross multiply
    6,305.82x = 9,455.58 × 3,674.24
  4. Step 4: Simplify right side
    6,305.82x = 34,742,070.26
  5. Step 5: Solve for x
    x = 34,742,070.26/6,305.82
  6. Step 6: Final answer
    x = 5,509.52

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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.