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Finding the Fourth Proportional to 9,256.22, 12,777.80 and 5,903.63

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Solution

The fourth proportional to 9,256.22, 12,777.80 and 5,903.63 is: 8,149.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,256.22 : 12,777.80 = 5,903.63 : x
  2. Step 2: Convert to fraction form
    9,256.22/12,777.80 = 5,903.63/x
  3. Step 3: Cross multiply
    9,256.22x = 12,777.80 × 5,903.63
  4. Step 4: Simplify right side
    9,256.22x = 75,435,310.01
  5. Step 5: Solve for x
    x = 75,435,310.01/9,256.22
  6. Step 6: Final answer
    x = 8,149.69

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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.