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Finding the Fourth Proportional to 9,573.21, 13,212.59 and 8,000.73

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Solution

The fourth proportional to 9,573.21, 13,212.59 and 8,000.73 is: 11,042.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,573.21 : 13,212.59 = 8,000.73 : x
  2. Step 2: Convert to fraction form
    9,573.21/13,212.59 = 8,000.73/x
  3. Step 3: Cross multiply
    9,573.21x = 13,212.59 × 8,000.73
  4. Step 4: Simplify right side
    9,573.21x = 105,710,325.19
  5. Step 5: Solve for x
    x = 105,710,325.19/9,573.21
  6. Step 6: Final answer
    x = 11,042.31

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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.