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Finding the Fourth Proportional to 6,416.35, 9,624.86 and 2,034.15

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Solution

The fourth proportional to 6,416.35, 9,624.86 and 2,034.15 is: 3,051.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,416.35 : 9,624.86 = 2,034.15 : x
  2. Step 2: Convert to fraction form
    6,416.35/9,624.86 = 2,034.15/x
  3. Step 3: Cross multiply
    6,416.35x = 9,624.86 × 2,034.15
  4. Step 4: Simplify right side
    6,416.35x = 19,578,414.05
  5. Step 5: Solve for x
    x = 19,578,414.05/6,416.35
  6. Step 6: Final answer
    x = 3,051.33

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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.