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Finding the Fourth Proportional to 9,255.41, 12,772.16 and 5,277.81

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Solution

The fourth proportional to 9,255.41, 12,772.16 and 5,277.81 is: 7,283.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,255.41 : 12,772.16 = 5,277.81 : x
  2. Step 2: Convert to fraction form
    9,255.41/12,772.16 = 5,277.81/x
  3. Step 3: Cross multiply
    9,255.41x = 12,772.16 × 5,277.81
  4. Step 4: Simplify right side
    9,255.41x = 67,408,988.38
  5. Step 5: Solve for x
    x = 67,408,988.38/9,255.41
  6. Step 6: Final answer
    x = 7,283.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.