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Finding the Fourth Proportional to 9,426.96, 13,001.92 and 6,908.13

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Solution

The fourth proportional to 9,426.96, 13,001.92 and 6,908.13 is: 9,527.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,426.96 : 13,001.92 = 6,908.13 : x
  2. Step 2: Convert to fraction form
    9,426.96/13,001.92 = 6,908.13/x
  3. Step 3: Cross multiply
    9,426.96x = 13,001.92 × 6,908.13
  4. Step 4: Simplify right side
    9,426.96x = 89,818,936.34
  5. Step 5: Solve for x
    x = 89,818,936.34/9,426.96
  6. Step 6: Final answer
    x = 9,527.88

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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.