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Finding the Fourth Proportional to 9,670.62, 13,344.48 and 5,636.82

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Solution

The fourth proportional to 9,670.62, 13,344.48 and 5,636.82 is: 7,778.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,670.62 : 13,344.48 = 5,636.82 : x
  2. Step 2: Convert to fraction form
    9,670.62/13,344.48 = 5,636.82/x
  3. Step 3: Cross multiply
    9,670.62x = 13,344.48 × 5,636.82
  4. Step 4: Simplify right side
    9,670.62x = 75,220,431.75
  5. Step 5: Solve for x
    x = 75,220,431.75/9,670.62
  6. Step 6: Final answer
    x = 7,778.24

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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.