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Finding the Fourth Proportional to 9,257.63, 12,776.21 and 5,278.83

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Solution

The fourth proportional to 9,257.63, 12,776.21 and 5,278.83 is: 7,285.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,257.63 : 12,776.21 = 5,278.83 : x
  2. Step 2: Convert to fraction form
    9,257.63/12,776.21 = 5,278.83/x
  3. Step 3: Cross multiply
    9,257.63x = 12,776.21 × 5,278.83
  4. Step 4: Simplify right side
    9,257.63x = 67,443,414.24
  5. Step 5: Solve for x
    x = 67,443,414.24/9,257.63
  6. Step 6: Final answer
    x = 7,285.17

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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.