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Finding the Fourth Proportional to 9,846.78, 14,735.48 and 6,150.75

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Solution

The fourth proportional to 9,846.78, 14,735.48 and 6,150.75 is: 9,204.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,846.78 : 14,735.48 = 6,150.75 : x
  2. Step 2: Convert to fraction form
    9,846.78/14,735.48 = 6,150.75/x
  3. Step 3: Cross multiply
    9,846.78x = 14,735.48 × 6,150.75
  4. Step 4: Simplify right side
    9,846.78x = 90,634,222.86
  5. Step 5: Solve for x
    x = 90,634,222.86/9,846.78
  6. Step 6: Final answer
    x = 9,204.45

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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.