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Finding the Fourth Proportional to 9,850.68, 14,771.16 and 3,276.72

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Solution

The fourth proportional to 9,850.68, 14,771.16 and 3,276.72 is: 4,913.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,850.68 : 14,771.16 = 3,276.72 : x
  2. Step 2: Convert to fraction form
    9,850.68/14,771.16 = 3,276.72/x
  3. Step 3: Cross multiply
    9,850.68x = 14,771.16 × 3,276.72
  4. Step 4: Simplify right side
    9,850.68x = 48,400,955.40
  5. Step 5: Solve for x
    x = 48,400,955.40/9,850.68
  6. Step 6: Final answer
    x = 4,913.46

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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.