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Finding the Fourth Proportional to 9,914.88, 14,866.38 and 3,157.55

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Solution

The fourth proportional to 9,914.88, 14,866.38 and 3,157.55 is: 4,734.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,914.88 : 14,866.38 = 3,157.55 : x
  2. Step 2: Convert to fraction form
    9,914.88/14,866.38 = 3,157.55/x
  3. Step 3: Cross multiply
    9,914.88x = 14,866.38 × 3,157.55
  4. Step 4: Simplify right side
    9,914.88x = 46,941,338.17
  5. Step 5: Solve for x
    x = 46,941,338.17/9,914.88
  6. Step 6: Final answer
    x = 4,734.43

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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.