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Finding the Fourth Proportional to 9,016.96, 12,448.32 and 6,928

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Solution

The fourth proportional to 9,016.96, 12,448.32 and 6,928 is: 9,564.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,016.96 : 12,448.32 = 6,928 : x
  2. Step 2: Convert to fraction form
    9,016.96/12,448.32 = 6,928/x
  3. Step 3: Cross multiply
    9,016.96x = 12,448.32 × 6,928
  4. Step 4: Simplify right side
    9,016.96x = 86,241,960.96
  5. Step 5: Solve for x
    x = 86,241,960.96/9,016.96
  6. Step 6: Final answer
    x = 9,564.42

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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.