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Finding the Fourth Proportional to 9,573.54, 13,211.64 and 5,796.66

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Solution

The fourth proportional to 9,573.54, 13,211.64 and 5,796.66 is: 7,999.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,573.54 : 13,211.64 = 5,796.66 : x
  2. Step 2: Convert to fraction form
    9,573.54/13,211.64 = 5,796.66/x
  3. Step 3: Cross multiply
    9,573.54x = 13,211.64 × 5,796.66
  4. Step 4: Simplify right side
    9,573.54x = 76,583,385.12
  5. Step 5: Solve for x
    x = 76,583,385.12/9,573.54
  6. Step 6: Final answer
    x = 7,999.48

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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.