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Finding the Fourth Proportional to 9,332.34, 13,996.89 and 3,408

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Solution

The fourth proportional to 9,332.34, 13,996.89 and 3,408 is: 5,111.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,332.34 : 13,996.89 = 3,408 : x
  2. Step 2: Convert to fraction form
    9,332.34/13,996.89 = 3,408/x
  3. Step 3: Cross multiply
    9,332.34x = 13,996.89 × 3,408
  4. Step 4: Simplify right side
    9,332.34x = 47,701,401.12
  5. Step 5: Solve for x
    x = 47,701,401.12/9,332.34
  6. Step 6: Final answer
    x = 5,111.41

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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.