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Finding the Fourth Proportional to 9,257.49, 12,774.78 and 5,277.96

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Solution

The fourth proportional to 9,257.49, 12,774.78 and 5,277.96 is: 7,283.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,257.49 : 12,774.78 = 5,277.96 : x
  2. Step 2: Convert to fraction form
    9,257.49/12,774.78 = 5,277.96/x
  3. Step 3: Cross multiply
    9,257.49x = 12,774.78 × 5,277.96
  4. Step 4: Simplify right side
    9,257.49x = 67,424,777.85
  5. Step 5: Solve for x
    x = 67,424,777.85/9,257.49
  6. Step 6: Final answer
    x = 7,283.27

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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.