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Finding the Fourth Proportional to 9,844.06, 14,766.02 and 3,604.50

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Solution

The fourth proportional to 9,844.06, 14,766.02 and 3,604.50 is: 5,406.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,844.06 : 14,766.02 = 3,604.50 : x
  2. Step 2: Convert to fraction form
    9,844.06/14,766.02 = 3,604.50/x
  3. Step 3: Cross multiply
    9,844.06x = 14,766.02 × 3,604.50
  4. Step 4: Simplify right side
    9,844.06x = 53,224,119.09
  5. Step 5: Solve for x
    x = 53,224,119.09/9,844.06
  6. Step 6: Final answer
    x = 5,406.72

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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.