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Finding the Fourth Proportional to 9,351.84, 14,005.92 and 5,185.28

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Solution

The fourth proportional to 9,351.84, 14,005.92 and 5,185.28 is: 7,765.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,351.84 : 14,005.92 = 5,185.28 : x
  2. Step 2: Convert to fraction form
    9,351.84/14,005.92 = 5,185.28/x
  3. Step 3: Cross multiply
    9,351.84x = 14,005.92 × 5,185.28
  4. Step 4: Simplify right side
    9,351.84x = 72,624,616.86
  5. Step 5: Solve for x
    x = 72,624,616.86/9,351.84
  6. Step 6: Final answer
    x = 7,765.81

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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.