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Finding the Fourth Proportional to 9,259.68, 12,784.32 and 8,263.25

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Solution

The fourth proportional to 9,259.68, 12,784.32 and 8,263.25 is: 11,408.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,259.68 : 12,784.32 = 8,263.25 : x
  2. Step 2: Convert to fraction form
    9,259.68/12,784.32 = 8,263.25/x
  3. Step 3: Cross multiply
    9,259.68x = 12,784.32 × 8,263.25
  4. Step 4: Simplify right side
    9,259.68x = 105,640,032.24
  5. Step 5: Solve for x
    x = 105,640,032.24/9,259.68
  6. Step 6: Final answer
    x = 11,408.61

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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.