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Finding the Fourth Proportional to 8,289.32, 12,435.84 and 4,396.46

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Solution

The fourth proportional to 8,289.32, 12,435.84 and 4,396.46 is: 6,595.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,289.32 : 12,435.84 = 4,396.46 : x
  2. Step 2: Convert to fraction form
    8,289.32/12,435.84 = 4,396.46/x
  3. Step 3: Cross multiply
    8,289.32x = 12,435.84 × 4,396.46
  4. Step 4: Simplify right side
    8,289.32x = 54,673,673.13
  5. Step 5: Solve for x
    x = 54,673,673.13/8,289.32
  6. Step 6: Final answer
    x = 6,595.68

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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.