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Finding the Fourth Proportional to 9,524.64, 14,289.36 and 3,679.68

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Solution

The fourth proportional to 9,524.64, 14,289.36 and 3,679.68 is: 5,520.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,524.64 : 14,289.36 = 3,679.68 : x
  2. Step 2: Convert to fraction form
    9,524.64/14,289.36 = 3,679.68/x
  3. Step 3: Cross multiply
    9,524.64x = 14,289.36 × 3,679.68
  4. Step 4: Simplify right side
    9,524.64x = 52,580,272.20
  5. Step 5: Solve for x
    x = 52,580,272.20/9,524.64
  6. Step 6: Final answer
    x = 5,520.45

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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.