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Finding the Fourth Proportional to 9,963.70, 14,944.64 and 3,038.20

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Solution

The fourth proportional to 9,963.70, 14,944.64 and 3,038.20 is: 4,557.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,963.70 : 14,944.64 = 3,038.20 : x
  2. Step 2: Convert to fraction form
    9,963.70/14,944.64 = 3,038.20/x
  3. Step 3: Cross multiply
    9,963.70x = 14,944.64 × 3,038.20
  4. Step 4: Simplify right side
    9,963.70x = 45,404,794.73
  5. Step 5: Solve for x
    x = 45,404,794.73/9,963.70
  6. Step 6: Final answer
    x = 4,557.02

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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.