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Finding the Fourth Proportional to 9,256.68, 12,771.05 and 5,274.92

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Solution

The fourth proportional to 9,256.68, 12,771.05 and 5,274.92 is: 7,277.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,256.68 : 12,771.05 = 5,274.92 : x
  2. Step 2: Convert to fraction form
    9,256.68/12,771.05 = 5,274.92/x
  3. Step 3: Cross multiply
    9,256.68x = 12,771.05 × 5,274.92
  4. Step 4: Simplify right side
    9,256.68x = 67,366,176.84
  5. Step 5: Solve for x
    x = 67,366,176.84/9,256.68
  6. Step 6: Final answer
    x = 7,277.57

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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.