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Finding the Fourth Proportional to 9,208.17, 12,707.37 and 5,016.42

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Solution

The fourth proportional to 9,208.17, 12,707.37 and 5,016.42 is: 6,922.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,208.17 : 12,707.37 = 5,016.42 : x
  2. Step 2: Convert to fraction form
    9,208.17/12,707.37 = 5,016.42/x
  3. Step 3: Cross multiply
    9,208.17x = 12,707.37 × 5,016.42
  4. Step 4: Simplify right side
    9,208.17x = 63,745,505.02
  5. Step 5: Solve for x
    x = 63,745,505.02/9,208.17
  6. Step 6: Final answer
    x = 6,922.71

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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.