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Finding the Fourth Proportional to 6,412.74, 9,618.27 and 1,733.10

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Solution

The fourth proportional to 6,412.74, 9,618.27 and 1,733.10 is: 2,599.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,412.74 : 9,618.27 = 1,733.10 : x
  2. Step 2: Convert to fraction form
    6,412.74/9,618.27 = 1,733.10/x
  3. Step 3: Cross multiply
    6,412.74x = 9,618.27 × 1,733.10
  4. Step 4: Simplify right side
    6,412.74x = 16,669,423.74
  5. Step 5: Solve for x
    x = 16,669,423.74/6,412.74
  6. Step 6: Final answer
    x = 2,599.42

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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.