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Finding the Fourth Proportional to 9,278.48, 12,797.33 and 6,445.85

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Solution

The fourth proportional to 9,278.48, 12,797.33 and 6,445.85 is: 8,890.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,278.48 : 12,797.33 = 6,445.85 : x
  2. Step 2: Convert to fraction form
    9,278.48/12,797.33 = 6,445.85/x
  3. Step 3: Cross multiply
    9,278.48x = 12,797.33 × 6,445.85
  4. Step 4: Simplify right side
    9,278.48x = 82,489,573.36
  5. Step 5: Solve for x
    x = 82,489,573.36/9,278.48
  6. Step 6: Final answer
    x = 8,890.42

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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.