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Finding the Fourth Proportional to 9,609.02, 13,256.43 and 6,466.22

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Solution

The fourth proportional to 9,609.02, 13,256.43 and 6,466.22 is: 8,920.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,609.02 : 13,256.43 = 6,466.22 : x
  2. Step 2: Convert to fraction form
    9,609.02/13,256.43 = 6,466.22/x
  3. Step 3: Cross multiply
    9,609.02x = 13,256.43 × 6,466.22
  4. Step 4: Simplify right side
    9,609.02x = 85,718,992.79
  5. Step 5: Solve for x
    x = 85,718,992.79/9,609.02
  6. Step 6: Final answer
    x = 8,920.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.