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Finding the Fourth Proportional to 9,991.96, 14,987.86 and 2,596.39

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Solution

The fourth proportional to 9,991.96, 14,987.86 and 2,596.39 is: 3,894.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,991.96 : 14,987.86 = 2,596.39 : x
  2. Step 2: Convert to fraction form
    9,991.96/14,987.86 = 2,596.39/x
  3. Step 3: Cross multiply
    9,991.96x = 14,987.86 × 2,596.39
  4. Step 4: Simplify right side
    9,991.96x = 38,914,329.83
  5. Step 5: Solve for x
    x = 38,914,329.83/9,991.96
  6. Step 6: Final answer
    x = 3,894.56

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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.