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Finding the Fourth Proportional to 9,739.86, 13,437.85 and 5,959.08

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Solution

The fourth proportional to 9,739.86, 13,437.85 and 5,959.08 is: 8,221.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,739.86 : 13,437.85 = 5,959.08 : x
  2. Step 2: Convert to fraction form
    9,739.86/13,437.85 = 5,959.08/x
  3. Step 3: Cross multiply
    9,739.86x = 13,437.85 × 5,959.08
  4. Step 4: Simplify right side
    9,739.86x = 80,077,223.18
  5. Step 5: Solve for x
    x = 80,077,223.18/9,739.86
  6. Step 6: Final answer
    x = 8,221.60

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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.