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Finding the Fourth Proportional to 11,393.73, 17,051.72 and 9,546.93

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Solution

The fourth proportional to 11,393.73, 17,051.72 and 9,546.93 is: 14,287.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,393.73 : 17,051.72 = 9,546.93 : x
  2. Step 2: Convert to fraction form
    11,393.73/17,051.72 = 9,546.93/x
  3. Step 3: Cross multiply
    11,393.73x = 17,051.72 × 9,546.93
  4. Step 4: Simplify right side
    11,393.73x = 162,791,529.48
  5. Step 5: Solve for x
    x = 162,791,529.48/11,393.73
  6. Step 6: Final answer
    x = 14,287.82

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Why These Related Problems?

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