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Finding the Fourth Proportional to 9,644, 14,463.84 and 4,711.28

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Solution

The fourth proportional to 9,644, 14,463.84 and 4,711.28 is: 7,065.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,644 : 14,463.84 = 4,711.28 : x
  2. Step 2: Convert to fraction form
    9,644/14,463.84 = 4,711.28/x
  3. Step 3: Cross multiply
    9,644x = 14,463.84 × 4,711.28
  4. Step 4: Simplify right side
    9,644x = 68,143,200.12
  5. Step 5: Solve for x
    x = 68,143,200.12/9,644
  6. Step 6: Final answer
    x = 7,065.86

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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.