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Finding the Fourth Proportional to 9,650.89, 14,466.46 and 6,531.22

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Solution

The fourth proportional to 9,650.89, 14,466.46 and 6,531.22 is: 9,790.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,650.89 : 14,466.46 = 6,531.22 : x
  2. Step 2: Convert to fraction form
    9,650.89/14,466.46 = 6,531.22/x
  3. Step 3: Cross multiply
    9,650.89x = 14,466.46 × 6,531.22
  4. Step 4: Simplify right side
    9,650.89x = 94,483,632.88
  5. Step 5: Solve for x
    x = 94,483,632.88/9,650.89
  6. Step 6: Final answer
    x = 9,790.15

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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.