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Finding the Fourth Proportional to 8,034.91, 12,031.40 and 6,466.34

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Solution

The fourth proportional to 8,034.91, 12,031.40 and 6,466.34 is: 9,682.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,034.91 : 12,031.40 = 6,466.34 : x
  2. Step 2: Convert to fraction form
    8,034.91/12,031.40 = 6,466.34/x
  3. Step 3: Cross multiply
    8,034.91x = 12,031.40 × 6,466.34
  4. Step 4: Simplify right side
    8,034.91x = 77,799,106.91
  5. Step 5: Solve for x
    x = 77,799,106.91/8,034.91
  6. Step 6: Final answer
    x = 9,682.64

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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.