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Finding the Fourth Proportional to 9,909, 14,844.06 and 4,964.04

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Solution

The fourth proportional to 9,909, 14,844.06 and 4,964.04 is: 7,436.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,909 : 14,844.06 = 4,964.04 : x
  2. Step 2: Convert to fraction form
    9,909/14,844.06 = 4,964.04/x
  3. Step 3: Cross multiply
    9,909x = 14,844.06 × 4,964.04
  4. Step 4: Simplify right side
    9,909x = 73,686,507.60
  5. Step 5: Solve for x
    x = 73,686,507.60/9,909
  6. Step 6: Final answer
    x = 7,436.32

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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.