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Finding the Fourth Proportional to 9,456.81, 13,050.42 and 5,207.73

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Solution

The fourth proportional to 9,456.81, 13,050.42 and 5,207.73 is: 7,186.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,456.81 : 13,050.42 = 5,207.73 : x
  2. Step 2: Convert to fraction form
    9,456.81/13,050.42 = 5,207.73/x
  3. Step 3: Cross multiply
    9,456.81x = 13,050.42 × 5,207.73
  4. Step 4: Simplify right side
    9,456.81x = 67,963,063.75
  5. Step 5: Solve for x
    x = 67,963,063.75/9,456.81
  6. Step 6: Final answer
    x = 7,186.68

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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.