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Finding the Fourth Proportional to 9,627.35, 14,442.98 and 5,469.35

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Solution

The fourth proportional to 9,627.35, 14,442.98 and 5,469.35 is: 8,205.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,627.35 : 14,442.98 = 5,469.35 : x
  2. Step 2: Convert to fraction form
    9,627.35/14,442.98 = 5,469.35/x
  3. Step 3: Cross multiply
    9,627.35x = 14,442.98 × 5,469.35
  4. Step 4: Simplify right side
    9,627.35x = 78,993,613.10
  5. Step 5: Solve for x
    x = 78,993,613.10/9,627.35
  6. Step 6: Final answer
    x = 8,205.13

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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.