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Finding the Fourth Proportional to 9,787.06, 13,506.06 and 5,310.80

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Solution

The fourth proportional to 9,787.06, 13,506.06 and 5,310.80 is: 7,328.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,787.06 : 13,506.06 = 5,310.80 : x
  2. Step 2: Convert to fraction form
    9,787.06/13,506.06 = 5,310.80/x
  3. Step 3: Cross multiply
    9,787.06x = 13,506.06 × 5,310.80
  4. Step 4: Simplify right side
    9,787.06x = 71,727,983.45
  5. Step 5: Solve for x
    x = 71,727,983.45/9,787.06
  6. Step 6: Final answer
    x = 7,328.86

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Why These Related Problems?

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