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Finding the Fourth Proportional to 9,277.37, 12,800.28 and 5,297.69

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Solution

The fourth proportional to 9,277.37, 12,800.28 and 5,297.69 is: 7,309.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,277.37 : 12,800.28 = 5,297.69 : x
  2. Step 2: Convert to fraction form
    9,277.37/12,800.28 = 5,297.69/x
  3. Step 3: Cross multiply
    9,277.37x = 12,800.28 × 5,297.69
  4. Step 4: Simplify right side
    9,277.37x = 67,811,915.35
  5. Step 5: Solve for x
    x = 67,811,915.35/9,277.37
  6. Step 6: Final answer
    x = 7,309.39

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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.