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Finding the Fourth Proportional to 9,766.49, 13,478.02 and 5,987.48

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Solution

The fourth proportional to 9,766.49, 13,478.02 and 5,987.48 is: 8,262.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,766.49 : 13,478.02 = 5,987.48 : x
  2. Step 2: Convert to fraction form
    9,766.49/13,478.02 = 5,987.48/x
  3. Step 3: Cross multiply
    9,766.49x = 13,478.02 × 5,987.48
  4. Step 4: Simplify right side
    9,766.49x = 80,699,292.83
  5. Step 5: Solve for x
    x = 80,699,292.83/9,766.49
  6. Step 6: Final answer
    x = 8,262.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.