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Finding the Fourth Proportional to 6,417.65, 9,626.37 and 2,035.10

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Solution

The fourth proportional to 6,417.65, 9,626.37 and 2,035.10 is: 3,052.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,417.65 : 9,626.37 = 2,035.10 : x
  2. Step 2: Convert to fraction form
    6,417.65/9,626.37 = 2,035.10/x
  3. Step 3: Cross multiply
    6,417.65x = 9,626.37 × 2,035.10
  4. Step 4: Simplify right side
    6,417.65x = 19,590,625.59
  5. Step 5: Solve for x
    x = 19,590,625.59/6,417.65
  6. Step 6: Final answer
    x = 3,052.62

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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.