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Finding the Fourth Proportional to 9,670.14, 14,473.83 and 5,221.62

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Solution

The fourth proportional to 9,670.14, 14,473.83 and 5,221.62 is: 7,815.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,670.14 : 14,473.83 = 5,221.62 : x
  2. Step 2: Convert to fraction form
    9,670.14/14,473.83 = 5,221.62/x
  3. Step 3: Cross multiply
    9,670.14x = 14,473.83 × 5,221.62
  4. Step 4: Simplify right side
    9,670.14x = 75,576,840.20
  5. Step 5: Solve for x
    x = 75,576,840.20/9,670.14
  6. Step 6: Final answer
    x = 7,815.49

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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.