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Finding the Fourth Proportional to 9,257.84, 12,776.16 and 5,279.60

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Solution

The fourth proportional to 9,257.84, 12,776.16 and 5,279.60 is: 7,286.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,257.84 : 12,776.16 = 5,279.60 : x
  2. Step 2: Convert to fraction form
    9,257.84/12,776.16 = 5,279.60/x
  3. Step 3: Cross multiply
    9,257.84x = 12,776.16 × 5,279.60
  4. Step 4: Simplify right side
    9,257.84x = 67,453,014.34
  5. Step 5: Solve for x
    x = 67,453,014.34/9,257.84
  6. Step 6: Final answer
    x = 7,286.04

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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.