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Finding the Fourth Proportional to 9,591.86, 13,235.92 and 5,342.60

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Solution

The fourth proportional to 9,591.86, 13,235.92 and 5,342.60 is: 7,372.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,591.86 : 13,235.92 = 5,342.60 : x
  2. Step 2: Convert to fraction form
    9,591.86/13,235.92 = 5,342.60/x
  3. Step 3: Cross multiply
    9,591.86x = 13,235.92 × 5,342.60
  4. Step 4: Simplify right side
    9,591.86x = 70,714,146.66
  5. Step 5: Solve for x
    x = 70,714,146.66/9,591.86
  6. Step 6: Final answer
    x = 7,372.31

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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.