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Finding the Fourth Proportional to 9,408, 14,092.87 and 7,549.05

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Solution

The fourth proportional to 9,408, 14,092.87 and 7,549.05 is: 11,308.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,408 : 14,092.87 = 7,549.05 : x
  2. Step 2: Convert to fraction form
    9,408/14,092.87 = 7,549.05/x
  3. Step 3: Cross multiply
    9,408x = 14,092.87 × 7,549.05
  4. Step 4: Simplify right side
    9,408x = 106,387,780.27
  5. Step 5: Solve for x
    x = 106,387,780.27/9,408
  6. Step 6: Final answer
    x = 11,308.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.