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Finding the Fourth Proportional to 9,031.72, 12,466.92 and 6,208.44

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Solution

The fourth proportional to 9,031.72, 12,466.92 and 6,208.44 is: 8,569.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,031.72 : 12,466.92 = 6,208.44 : x
  2. Step 2: Convert to fraction form
    9,031.72/12,466.92 = 6,208.44/x
  3. Step 3: Cross multiply
    9,031.72x = 12,466.92 × 6,208.44
  4. Step 4: Simplify right side
    9,031.72x = 77,400,124.80
  5. Step 5: Solve for x
    x = 77,400,124.80/9,031.72
  6. Step 6: Final answer
    x = 8,569.81

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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.