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Finding the Fourth Proportional to 6,473.98, 9,690.08 and 3,349.69

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Solution

The fourth proportional to 6,473.98, 9,690.08 and 3,349.69 is: 5,013.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,473.98 : 9,690.08 = 3,349.69 : x
  2. Step 2: Convert to fraction form
    6,473.98/9,690.08 = 3,349.69/x
  3. Step 3: Cross multiply
    6,473.98x = 9,690.08 × 3,349.69
  4. Step 4: Simplify right side
    6,473.98x = 32,458,715.62
  5. Step 5: Solve for x
    x = 32,458,715.62/6,473.98
  6. Step 6: Final answer
    x = 5,013.72

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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.