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Finding the Fourth Proportional to 9,900.54, 14,840.02 and 3,655.28

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Solution

The fourth proportional to 9,900.54, 14,840.02 and 3,655.28 is: 5,478.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,900.54 : 14,840.02 = 3,655.28 : x
  2. Step 2: Convert to fraction form
    9,900.54/14,840.02 = 3,655.28/x
  3. Step 3: Cross multiply
    9,900.54x = 14,840.02 × 3,655.28
  4. Step 4: Simplify right side
    9,900.54x = 54,244,469.97
  5. Step 5: Solve for x
    x = 54,244,469.97/9,900.54
  6. Step 6: Final answer
    x = 5,478.94

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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.