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Finding the Fourth Proportional to 9,477.22, 14,222.80 and 7,650.22

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Solution

The fourth proportional to 9,477.22, 14,222.80 and 7,650.22 is: 11,480.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,477.22 : 14,222.80 = 7,650.22 : x
  2. Step 2: Convert to fraction form
    9,477.22/14,222.80 = 7,650.22/x
  3. Step 3: Cross multiply
    9,477.22x = 14,222.80 × 7,650.22
  4. Step 4: Simplify right side
    9,477.22x = 108,807,549.02
  5. Step 5: Solve for x
    x = 108,807,549.02/9,477.22
  6. Step 6: Final answer
    x = 11,480.96

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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.