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Finding the Fourth Proportional to 9,729.80, 14,594.92 and 3,156

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Solution

The fourth proportional to 9,729.80, 14,594.92 and 3,156 is: 4,734.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,729.80 : 14,594.92 = 3,156 : x
  2. Step 2: Convert to fraction form
    9,729.80/14,594.92 = 3,156/x
  3. Step 3: Cross multiply
    9,729.80x = 14,594.92 × 3,156
  4. Step 4: Simplify right side
    9,729.80x = 46,061,567.52
  5. Step 5: Solve for x
    x = 46,061,567.52/9,729.80
  6. Step 6: Final answer
    x = 4,734.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.