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Finding the Fourth Proportional to 10,408.02, 14,354.90 and 9,214.26

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Solution

The fourth proportional to 10,408.02, 14,354.90 and 9,214.26 is: 12,708.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,408.02 : 14,354.90 = 9,214.26 : x
  2. Step 2: Convert to fraction form
    10,408.02/14,354.90 = 9,214.26/x
  3. Step 3: Cross multiply
    10,408.02x = 14,354.90 × 9,214.26
  4. Step 4: Simplify right side
    10,408.02x = 132,269,780.87
  5. Step 5: Solve for x
    x = 132,269,780.87/10,408.02
  6. Step 6: Final answer
    x = 12,708.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.