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Finding the Fourth Proportional to 6,443.79, 9,668.93 and 2,551.47

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Solution

The fourth proportional to 6,443.79, 9,668.93 and 2,551.47 is: 3,828.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,443.79 : 9,668.93 = 2,551.47 : x
  2. Step 2: Convert to fraction form
    6,443.79/9,668.93 = 2,551.47/x
  3. Step 3: Cross multiply
    6,443.79x = 9,668.93 × 2,551.47
  4. Step 4: Simplify right side
    6,443.79x = 24,669,972.07
  5. Step 5: Solve for x
    x = 24,669,972.07/6,443.79
  6. Step 6: Final answer
    x = 3,828.49

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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.