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Finding the Fourth Proportional to 9,523.44, 14,289 and 4,324.08

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Solution

The fourth proportional to 9,523.44, 14,289 and 4,324.08 is: 6,487.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,523.44 : 14,289 = 4,324.08 : x
  2. Step 2: Convert to fraction form
    9,523.44/14,289 = 4,324.08/x
  3. Step 3: Cross multiply
    9,523.44x = 14,289 × 4,324.08
  4. Step 4: Simplify right side
    9,523.44x = 61,786,779.12
  5. Step 5: Solve for x
    x = 61,786,779.12/9,523.44
  6. Step 6: Final answer
    x = 6,487.86

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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.