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Finding the Fourth Proportional to 9,420.14, 12,999.52 and 5,171.18

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Solution

The fourth proportional to 9,420.14, 12,999.52 and 5,171.18 is: 7,136.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,420.14 : 12,999.52 = 5,171.18 : x
  2. Step 2: Convert to fraction form
    9,420.14/12,999.52 = 5,171.18/x
  3. Step 3: Cross multiply
    9,420.14x = 12,999.52 × 5,171.18
  4. Step 4: Simplify right side
    9,420.14x = 67,222,857.83
  5. Step 5: Solve for x
    x = 67,222,857.83/9,420.14
  6. Step 6: Final answer
    x = 7,136.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.