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Finding the Fourth Proportional to 8,953.38, 13,430.07 and 6,171.84

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Solution

The fourth proportional to 8,953.38, 13,430.07 and 6,171.84 is: 9,257.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,953.38 : 13,430.07 = 6,171.84 : x
  2. Step 2: Convert to fraction form
    8,953.38/13,430.07 = 6,171.84/x
  3. Step 3: Cross multiply
    8,953.38x = 13,430.07 × 6,171.84
  4. Step 4: Simplify right side
    8,953.38x = 82,888,243.23
  5. Step 5: Solve for x
    x = 82,888,243.23/8,953.38
  6. Step 6: Final answer
    x = 9,257.76

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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.