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Finding the Fourth Proportional to 9,787.80, 13,677 and 9,787.80

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Solution

The fourth proportional to 9,787.80, 13,677 and 9,787.80 is: 13,677

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,787.80 : 13,677 = 9,787.80 : x
  2. Step 2: Convert to fraction form
    9,787.80/13,677 = 9,787.80/x
  3. Step 3: Cross multiply
    9,787.80x = 13,677 × 9,787.80
  4. Step 4: Simplify right side
    9,787.80x = 133,867,740.60
  5. Step 5: Solve for x
    x = 133,867,740.60/9,787.80
  6. Step 6: Final answer
    x = 13,677

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.