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Finding the Fourth Proportional to 9,667.96, 13,341.81 and 5,476.21

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Solution

The fourth proportional to 9,667.96, 13,341.81 and 5,476.21 is: 7,557.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,667.96 : 13,341.81 = 5,476.21 : x
  2. Step 2: Convert to fraction form
    9,667.96/13,341.81 = 5,476.21/x
  3. Step 3: Cross multiply
    9,667.96x = 13,341.81 × 5,476.21
  4. Step 4: Simplify right side
    9,667.96x = 73,062,553.34
  5. Step 5: Solve for x
    x = 73,062,553.34/9,667.96
  6. Step 6: Final answer
    x = 7,557.18

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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.