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Finding the Fourth Proportional to 9,257.60, 12,775.44 and 8,504.50

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Solution

The fourth proportional to 9,257.60, 12,775.44 and 8,504.50 is: 11,736.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,257.60 : 12,775.44 = 8,504.50 : x
  2. Step 2: Convert to fraction form
    9,257.60/12,775.44 = 8,504.50/x
  3. Step 3: Cross multiply
    9,257.60x = 12,775.44 × 8,504.50
  4. Step 4: Simplify right side
    9,257.60x = 108,648,686.96
  5. Step 5: Solve for x
    x = 108,648,686.96/9,257.60
  6. Step 6: Final answer
    x = 11,736.16

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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.