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Finding the Fourth Proportional to 6,417.85, 9,627.12 and 2,035.65

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Solution

The fourth proportional to 6,417.85, 9,627.12 and 2,035.65 is: 3,053.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,417.85 : 9,627.12 = 2,035.65 : x
  2. Step 2: Convert to fraction form
    6,417.85/9,627.12 = 2,035.65/x
  3. Step 3: Cross multiply
    6,417.85x = 9,627.12 × 2,035.65
  4. Step 4: Simplify right side
    6,417.85x = 19,597,436.65
  5. Step 5: Solve for x
    x = 19,597,436.65/6,417.85
  6. Step 6: Final answer
    x = 3,053.58

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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.