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Finding the Fourth Proportional to 35,960.39, 53,940.53 and 9,665.13

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Solution

The fourth proportional to 35,960.39, 53,940.53 and 9,665.13 is: 14,497.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,960.39 : 53,940.53 = 9,665.13 : x
  2. Step 2: Convert to fraction form
    35,960.39/53,940.53 = 9,665.13/x
  3. Step 3: Cross multiply
    35,960.39x = 53,940.53 × 9,665.13
  4. Step 4: Simplify right side
    35,960.39x = 521,342,234.72
  5. Step 5: Solve for x
    x = 521,342,234.72/35,960.39
  6. Step 6: Final answer
    x = 14,497.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.