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Finding the Fourth Proportional to 9,408.85, 12,985.91 and 5,429.41

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Solution

The fourth proportional to 9,408.85, 12,985.91 and 5,429.41 is: 7,493.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,408.85 : 12,985.91 = 5,429.41 : x
  2. Step 2: Convert to fraction form
    9,408.85/12,985.91 = 5,429.41/x
  3. Step 3: Cross multiply
    9,408.85x = 12,985.91 × 5,429.41
  4. Step 4: Simplify right side
    9,408.85x = 70,505,802.47
  5. Step 5: Solve for x
    x = 70,505,802.47/9,408.85
  6. Step 6: Final answer
    x = 7,493.56

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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.