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Finding the Fourth Proportional to 9,257.63, 12,775.73 and 8,551.31

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Solution

The fourth proportional to 9,257.63, 12,775.73 and 8,551.31 is: 11,800.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,257.63 : 12,775.73 = 8,551.31 : x
  2. Step 2: Convert to fraction form
    9,257.63/12,775.73 = 8,551.31/x
  3. Step 3: Cross multiply
    9,257.63x = 12,775.73 × 8,551.31
  4. Step 4: Simplify right side
    9,257.63x = 109,249,121.07
  5. Step 5: Solve for x
    x = 109,249,121.07/9,257.63
  6. Step 6: Final answer
    x = 11,800.99

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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.