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Finding the Fourth Proportional to 6,452.35, 9,678.51 and 4,260.56

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Solution

The fourth proportional to 6,452.35, 9,678.51 and 4,260.56 is: 6,390.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,452.35 : 9,678.51 = 4,260.56 : x
  2. Step 2: Convert to fraction form
    6,452.35/9,678.51 = 4,260.56/x
  3. Step 3: Cross multiply
    6,452.35x = 9,678.51 × 4,260.56
  4. Step 4: Simplify right side
    6,452.35x = 41,235,896.76
  5. Step 5: Solve for x
    x = 41,235,896.76/6,452.35
  6. Step 6: Final answer
    x = 6,390.84

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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.