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Finding the Fourth Proportional to 9,414.62, 13,005.70 and 7,523.72

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Solution

The fourth proportional to 9,414.62, 13,005.70 and 7,523.72 is: 10,393.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,414.62 : 13,005.70 = 7,523.72 : x
  2. Step 2: Convert to fraction form
    9,414.62/13,005.70 = 7,523.72/x
  3. Step 3: Cross multiply
    9,414.62x = 13,005.70 × 7,523.72
  4. Step 4: Simplify right side
    9,414.62x = 97,851,245.20
  5. Step 5: Solve for x
    x = 97,851,245.20/9,414.62
  6. Step 6: Final answer
    x = 10,393.54

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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.