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Finding the Fourth Proportional to 6,466.38, 9,700.13 and 1,786.39

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Solution

The fourth proportional to 6,466.38, 9,700.13 and 1,786.39 is: 2,679.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,466.38 : 9,700.13 = 1,786.39 : x
  2. Step 2: Convert to fraction form
    6,466.38/9,700.13 = 1,786.39/x
  3. Step 3: Cross multiply
    6,466.38x = 9,700.13 × 1,786.39
  4. Step 4: Simplify right side
    6,466.38x = 17,328,215.23
  5. Step 5: Solve for x
    x = 17,328,215.23/6,466.38
  6. Step 6: Final answer
    x = 2,679.74

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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.