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Finding the Fourth Proportional to 6,428.90, 9,646.12 and 2,271.94

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Solution

The fourth proportional to 6,428.90, 9,646.12 and 2,271.94 is: 3,408.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,428.90 : 9,646.12 = 2,271.94 : x
  2. Step 2: Convert to fraction form
    6,428.90/9,646.12 = 2,271.94/x
  3. Step 3: Cross multiply
    6,428.90x = 9,646.12 × 2,271.94
  4. Step 4: Simplify right side
    6,428.90x = 21,915,405.87
  5. Step 5: Solve for x
    x = 21,915,405.87/6,428.90
  6. Step 6: Final answer
    x = 3,408.89

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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.