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Finding the Fourth Proportional to 9,503.78, 13,114.20 and 5,524.06

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Solution

The fourth proportional to 9,503.78, 13,114.20 and 5,524.06 is: 7,622.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,503.78 : 13,114.20 = 5,524.06 : x
  2. Step 2: Convert to fraction form
    9,503.78/13,114.20 = 5,524.06/x
  3. Step 3: Cross multiply
    9,503.78x = 13,114.20 × 5,524.06
  4. Step 4: Simplify right side
    9,503.78x = 72,443,627.65
  5. Step 5: Solve for x
    x = 72,443,627.65/9,503.78
  6. Step 6: Final answer
    x = 7,622.61

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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.