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Finding the Fourth Proportional to 6,452.40, 9,678.59 and 4,260.61

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Solution

The fourth proportional to 6,452.40, 9,678.59 and 4,260.61 is: 6,390.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,452.40 : 9,678.59 = 4,260.61 : x
  2. Step 2: Convert to fraction form
    6,452.40/9,678.59 = 4,260.61/x
  3. Step 3: Cross multiply
    6,452.40x = 9,678.59 × 4,260.61
  4. Step 4: Simplify right side
    6,452.40x = 41,236,697.34
  5. Step 5: Solve for x
    x = 41,236,697.34/6,452.40
  6. Step 6: Final answer
    x = 6,390.91

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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.