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Finding the Fourth Proportional to 9,355.92, 12,911.46 and 5,377.84

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Solution

The fourth proportional to 9,355.92, 12,911.46 and 5,377.84 is: 7,421.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,355.92 : 12,911.46 = 5,377.84 : x
  2. Step 2: Convert to fraction form
    9,355.92/12,911.46 = 5,377.84/x
  3. Step 3: Cross multiply
    9,355.92x = 12,911.46 × 5,377.84
  4. Step 4: Simplify right side
    9,355.92x = 69,435,766.05
  5. Step 5: Solve for x
    x = 69,435,766.05/9,355.92
  6. Step 6: Final answer
    x = 7,421.59

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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.