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Finding the Fourth Proportional to 9,964.95, 14,942.03 and 4,114.95

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Solution

The fourth proportional to 9,964.95, 14,942.03 and 4,114.95 is: 6,170.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,964.95 : 14,942.03 = 4,114.95 : x
  2. Step 2: Convert to fraction form
    9,964.95/14,942.03 = 4,114.95/x
  3. Step 3: Cross multiply
    9,964.95x = 14,942.03 × 4,114.95
  4. Step 4: Simplify right side
    9,964.95x = 61,485,685.77
  5. Step 5: Solve for x
    x = 61,485,685.77/9,964.95
  6. Step 6: Final answer
    x = 6,170.20

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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.