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Finding the Fourth Proportional to 9,272.60, 12,797.49 and 5,293.95

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Solution

The fourth proportional to 9,272.60, 12,797.49 and 5,293.95 is: 7,306.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,272.60 : 12,797.49 = 5,293.95 : x
  2. Step 2: Convert to fraction form
    9,272.60/12,797.49 = 5,293.95/x
  3. Step 3: Cross multiply
    9,272.60x = 12,797.49 × 5,293.95
  4. Step 4: Simplify right side
    9,272.60x = 67,749,272.19
  5. Step 5: Solve for x
    x = 67,749,272.19/9,272.60
  6. Step 6: Final answer
    x = 7,306.39

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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.