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Finding the Fourth Proportional to 9,979.29, 14,968.94 and 6,849.81

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Solution

The fourth proportional to 9,979.29, 14,968.94 and 6,849.81 is: 10,274.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,979.29 : 14,968.94 = 6,849.81 : x
  2. Step 2: Convert to fraction form
    9,979.29/14,968.94 = 6,849.81/x
  3. Step 3: Cross multiply
    9,979.29x = 14,968.94 × 6,849.81
  4. Step 4: Simplify right side
    9,979.29x = 102,534,304.52
  5. Step 5: Solve for x
    x = 102,534,304.52/9,979.29
  6. Step 6: Final answer
    x = 10,274.71

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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.