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Finding the Fourth Proportional to 6,416.38, 9,624.91 and 2,034.18

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Solution

The fourth proportional to 6,416.38, 9,624.91 and 2,034.18 is: 3,051.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,416.38 : 9,624.91 = 2,034.18 : x
  2. Step 2: Convert to fraction form
    6,416.38/9,624.91 = 2,034.18/x
  3. Step 3: Cross multiply
    6,416.38x = 9,624.91 × 2,034.18
  4. Step 4: Simplify right side
    6,416.38x = 19,578,799.42
  5. Step 5: Solve for x
    x = 19,578,799.42/6,416.38
  6. Step 6: Final answer
    x = 3,051.38

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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.