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Finding the Fourth Proportional to 6,417.34, 9,624.78 and 2,034.82

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Solution

The fourth proportional to 6,417.34, 9,624.78 and 2,034.82 is: 3,051.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,417.34 : 9,624.78 = 2,034.82 : x
  2. Step 2: Convert to fraction form
    6,417.34/9,624.78 = 2,034.82/x
  3. Step 3: Cross multiply
    6,417.34x = 9,624.78 × 2,034.82
  4. Step 4: Simplify right side
    6,417.34x = 19,584,694.84
  5. Step 5: Solve for x
    x = 19,584,694.84/6,417.34
  6. Step 6: Final answer
    x = 3,051.84

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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.