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Finding the Fourth Proportional to 9,854.87, 14,787.77 and 5,474.79

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Solution

The fourth proportional to 9,854.87, 14,787.77 and 5,474.79 is: 8,215.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,854.87 : 14,787.77 = 5,474.79 : x
  2. Step 2: Convert to fraction form
    9,854.87/14,787.77 = 5,474.79/x
  3. Step 3: Cross multiply
    9,854.87x = 14,787.77 × 5,474.79
  4. Step 4: Simplify right side
    9,854.87x = 80,959,907.94
  5. Step 5: Solve for x
    x = 80,959,907.94/9,854.87
  6. Step 6: Final answer
    x = 8,215.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.