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Finding the Fourth Proportional to 9,644.00, 14,463.09 and 4,097.25

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Solution

The fourth proportional to 9,644.00, 14,463.09 and 4,097.25 is: 6,144.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,644.00 : 14,463.09 = 4,097.25 : x
  2. Step 2: Convert to fraction form
    9,644.00/14,463.09 = 4,097.25/x
  3. Step 3: Cross multiply
    9,644.00x = 14,463.09 × 4,097.25
  4. Step 4: Simplify right side
    9,644.00x = 59,258,895.50
  5. Step 5: Solve for x
    x = 59,258,895.50/9,644.00
  6. Step 6: Final answer
    x = 6,144.64

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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.