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Finding the Fourth Proportional to 6,408.05, 9,614.70 and 2,897.10

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Solution

The fourth proportional to 6,408.05, 9,614.70 and 2,897.10 is: 4,346.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,408.05 : 9,614.70 = 2,897.10 : x
  2. Step 2: Convert to fraction form
    6,408.05/9,614.70 = 2,897.10/x
  3. Step 3: Cross multiply
    6,408.05x = 9,614.70 × 2,897.10
  4. Step 4: Simplify right side
    6,408.05x = 27,854,747.37
  5. Step 5: Solve for x
    x = 27,854,747.37/6,408.05
  6. Step 6: Final answer
    x = 4,346.84

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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.