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Finding the Fourth Proportional to 8,289.12, 12,404.52 and 6,325.68

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Solution

The fourth proportional to 8,289.12, 12,404.52 and 6,325.68 is: 9,466.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,289.12 : 12,404.52 = 6,325.68 : x
  2. Step 2: Convert to fraction form
    8,289.12/12,404.52 = 6,325.68/x
  3. Step 3: Cross multiply
    8,289.12x = 12,404.52 × 6,325.68
  4. Step 4: Simplify right side
    8,289.12x = 78,467,024.07
  5. Step 5: Solve for x
    x = 78,467,024.07/8,289.12
  6. Step 6: Final answer
    x = 9,466.27

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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.