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Finding the Fourth Proportional to 9,771.88, 14,661.92 and 4,222.36

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Solution

The fourth proportional to 9,771.88, 14,661.92 and 4,222.36 is: 6,335.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,771.88 : 14,661.92 = 4,222.36 : x
  2. Step 2: Convert to fraction form
    9,771.88/14,661.92 = 4,222.36/x
  3. Step 3: Cross multiply
    9,771.88x = 14,661.92 × 4,222.36
  4. Step 4: Simplify right side
    9,771.88x = 61,907,904.53
  5. Step 5: Solve for x
    x = 61,907,904.53/9,771.88
  6. Step 6: Final answer
    x = 6,335.31

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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.