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Finding the Fourth Proportional to 9,727.88, 14,586.78 and 5,780.84

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Solution

The fourth proportional to 9,727.88, 14,586.78 and 5,780.84 is: 8,668.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,727.88 : 14,586.78 = 5,780.84 : x
  2. Step 2: Convert to fraction form
    9,727.88/14,586.78 = 5,780.84/x
  3. Step 3: Cross multiply
    9,727.88x = 14,586.78 × 5,780.84
  4. Step 4: Simplify right side
    9,727.88x = 84,323,841.30
  5. Step 5: Solve for x
    x = 84,323,841.30/9,727.88
  6. Step 6: Final answer
    x = 8,668.26

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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.