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Finding the Fourth Proportional to 9,667.84, 13,341.62 and 5,418.94

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Solution

The fourth proportional to 9,667.84, 13,341.62 and 5,418.94 is: 7,478.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,667.84 : 13,341.62 = 5,418.94 : x
  2. Step 2: Convert to fraction form
    9,667.84/13,341.62 = 5,418.94/x
  3. Step 3: Cross multiply
    9,667.84x = 13,341.62 × 5,418.94
  4. Step 4: Simplify right side
    9,667.84x = 72,297,438.28
  5. Step 5: Solve for x
    x = 72,297,438.28/9,667.84
  6. Step 6: Final answer
    x = 7,478.14

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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.