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Finding the Fourth Proportional to 9,573.96, 13,213.62 and 8,001.48

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Solution

The fourth proportional to 9,573.96, 13,213.62 and 8,001.48 is: 11,043.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,573.96 : 13,213.62 = 8,001.48 : x
  2. Step 2: Convert to fraction form
    9,573.96/13,213.62 = 8,001.48/x
  3. Step 3: Cross multiply
    9,573.96x = 13,213.62 × 8,001.48
  4. Step 4: Simplify right side
    9,573.96x = 105,728,516.16
  5. Step 5: Solve for x
    x = 105,728,516.16/9,573.96
  6. Step 6: Final answer
    x = 11,043.34

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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.