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Finding the Fourth Proportional to 9,252.90, 12,768.48 and 5,274

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Solution

The fourth proportional to 9,252.90, 12,768.48 and 5,274 is: 7,277.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,252.90 : 12,768.48 = 5,274 : x
  2. Step 2: Convert to fraction form
    9,252.90/12,768.48 = 5,274/x
  3. Step 3: Cross multiply
    9,252.90x = 12,768.48 × 5,274
  4. Step 4: Simplify right side
    9,252.90x = 67,340,963.52
  5. Step 5: Solve for x
    x = 67,340,963.52/9,252.90
  6. Step 6: Final answer
    x = 7,277.82

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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.