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Finding the Fourth Proportional to 6,410.35, 9,618.50 and 2,460.29

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Solution

The fourth proportional to 6,410.35, 9,618.50 and 2,460.29 is: 3,691.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,410.35 : 9,618.50 = 2,460.29 : x
  2. Step 2: Convert to fraction form
    6,410.35/9,618.50 = 2,460.29/x
  3. Step 3: Cross multiply
    6,410.35x = 9,618.50 × 2,460.29
  4. Step 4: Simplify right side
    6,410.35x = 23,664,287.06
  5. Step 5: Solve for x
    x = 23,664,287.06/6,410.35
  6. Step 6: Final answer
    x = 3,691.58

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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.