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Finding the Fourth Proportional to 9,644.64, 14,463 and 3,069.06

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Solution

The fourth proportional to 9,644.64, 14,463 and 3,069.06 is: 4,602.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,644.64 : 14,463 = 3,069.06 : x
  2. Step 2: Convert to fraction form
    9,644.64/14,463 = 3,069.06/x
  3. Step 3: Cross multiply
    9,644.64x = 14,463 × 3,069.06
  4. Step 4: Simplify right side
    9,644.64x = 44,387,814.78
  5. Step 5: Solve for x
    x = 44,387,814.78/9,644.64
  6. Step 6: Final answer
    x = 4,602.33

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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.