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Finding the Fourth Proportional to 9,137.52, 12,596.85 and 6,483.96

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Solution

The fourth proportional to 9,137.52, 12,596.85 and 6,483.96 is: 8,938.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,137.52 : 12,596.85 = 6,483.96 : x
  2. Step 2: Convert to fraction form
    9,137.52/12,596.85 = 6,483.96/x
  3. Step 3: Cross multiply
    9,137.52x = 12,596.85 × 6,483.96
  4. Step 4: Simplify right side
    9,137.52x = 81,677,471.53
  5. Step 5: Solve for x
    x = 81,677,471.53/9,137.52
  6. Step 6: Final answer
    x = 8,938.69

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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.