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Finding the Fourth Proportional to 9,723.65, 14,587.80 and 3,149.84

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Solution

The fourth proportional to 9,723.65, 14,587.80 and 3,149.84 is: 4,725.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,723.65 : 14,587.80 = 3,149.84 : x
  2. Step 2: Convert to fraction form
    9,723.65/14,587.80 = 3,149.84/x
  3. Step 3: Cross multiply
    9,723.65x = 14,587.80 × 3,149.84
  4. Step 4: Simplify right side
    9,723.65x = 45,949,235.95
  5. Step 5: Solve for x
    x = 45,949,235.95/9,723.65
  6. Step 6: Final answer
    x = 4,725.51

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