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Finding the Fourth Proportional to 9,992.28, 14,968.92 and 6,519

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Solution

The fourth proportional to 9,992.28, 14,968.92 and 6,519 is: 9,765.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,992.28 : 14,968.92 = 6,519 : x
  2. Step 2: Convert to fraction form
    9,992.28/14,968.92 = 6,519/x
  3. Step 3: Cross multiply
    9,992.28x = 14,968.92 × 6,519
  4. Step 4: Simplify right side
    9,992.28x = 97,582,389.48
  5. Step 5: Solve for x
    x = 97,582,389.48/9,992.28
  6. Step 6: Final answer
    x = 9,765.78

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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.