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Finding the Fourth Proportional to 12,975.96, 17,888.94 and 9,787.80

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Solution

The fourth proportional to 12,975.96, 17,888.94 and 9,787.80 is: 13,493.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,975.96 : 17,888.94 = 9,787.80 : x
  2. Step 2: Convert to fraction form
    12,975.96/17,888.94 = 9,787.80/x
  3. Step 3: Cross multiply
    12,975.96x = 17,888.94 × 9,787.80
  4. Step 4: Simplify right side
    12,975.96x = 175,093,366.93
  5. Step 5: Solve for x
    x = 175,093,366.93/12,975.96
  6. Step 6: Final answer
    x = 13,493.67

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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.