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Finding the Fourth Proportional to 9,846.52, 14,735.10 and 6,150.49

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Solution

The fourth proportional to 9,846.52, 14,735.10 and 6,150.49 is: 9,204.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,846.52 : 14,735.10 = 6,150.49 : x
  2. Step 2: Convert to fraction form
    9,846.52/14,735.10 = 6,150.49/x
  3. Step 3: Cross multiply
    9,846.52x = 14,735.10 × 6,150.49
  4. Step 4: Simplify right side
    9,846.52x = 90,628,011.52
  5. Step 5: Solve for x
    x = 90,628,011.52/9,846.52
  6. Step 6: Final answer
    x = 9,204.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.