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Finding the Fourth Proportional to 9,900.66, 14,853.42 and 4,958.04

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Solution

The fourth proportional to 9,900.66, 14,853.42 and 4,958.04 is: 7,438.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,900.66 : 14,853.42 = 4,958.04 : x
  2. Step 2: Convert to fraction form
    9,900.66/14,853.42 = 4,958.04/x
  3. Step 3: Cross multiply
    9,900.66x = 14,853.42 × 4,958.04
  4. Step 4: Simplify right side
    9,900.66x = 73,643,850.50
  5. Step 5: Solve for x
    x = 73,643,850.50/9,900.66
  6. Step 6: Final answer
    x = 7,438.28

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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.