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Finding the Fourth Proportional to 9,259.77, 12,766.77 and 6,739.86

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Solution

The fourth proportional to 9,259.77, 12,766.77 and 6,739.86 is: 9,292.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,259.77 : 12,766.77 = 6,739.86 : x
  2. Step 2: Convert to fraction form
    9,259.77/12,766.77 = 6,739.86/x
  3. Step 3: Cross multiply
    9,259.77x = 12,766.77 × 6,739.86
  4. Step 4: Simplify right side
    9,259.77x = 86,046,242.45
  5. Step 5: Solve for x
    x = 86,046,242.45/9,259.77
  6. Step 6: Final answer
    x = 9,292.48

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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.