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Finding the Fourth Proportional to 9,716.68, 13,408.68 and 5,467.82

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Solution

The fourth proportional to 9,716.68, 13,408.68 and 5,467.82 is: 7,545.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,716.68 : 13,408.68 = 5,467.82 : x
  2. Step 2: Convert to fraction form
    9,716.68/13,408.68 = 5,467.82/x
  3. Step 3: Cross multiply
    9,716.68x = 13,408.68 × 5,467.82
  4. Step 4: Simplify right side
    9,716.68x = 73,316,248.68
  5. Step 5: Solve for x
    x = 73,316,248.68/9,716.68
  6. Step 6: Final answer
    x = 7,545.40

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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.