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Finding the Fourth Proportional to 9,991.51, 13,787.53 and 5,742.57

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Solution

The fourth proportional to 9,991.51, 13,787.53 and 5,742.57 is: 7,924.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,991.51 : 13,787.53 = 5,742.57 : x
  2. Step 2: Convert to fraction form
    9,991.51/13,787.53 = 5,742.57/x
  3. Step 3: Cross multiply
    9,991.51x = 13,787.53 × 5,742.57
  4. Step 4: Simplify right side
    9,991.51x = 79,175,841.80
  5. Step 5: Solve for x
    x = 79,175,841.80/9,991.51
  6. Step 6: Final answer
    x = 7,924.31

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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.