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Finding the Fourth Proportional to 9,200.72, 13,730.37 and 8,216.52

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Solution

The fourth proportional to 9,200.72, 13,730.37 and 8,216.52 is: 12,261.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,200.72 : 13,730.37 = 8,216.52 : x
  2. Step 2: Convert to fraction form
    9,200.72/13,730.37 = 8,216.52/x
  3. Step 3: Cross multiply
    9,200.72x = 13,730.37 × 8,216.52
  4. Step 4: Simplify right side
    9,200.72x = 112,815,859.71
  5. Step 5: Solve for x
    x = 112,815,859.71/9,200.72
  6. Step 6: Final answer
    x = 12,261.63

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.