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Finding the Fourth Proportional to 9,255.96, 12,773.12 and 5,277.06

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Solution

The fourth proportional to 9,255.96, 12,773.12 and 5,277.06 is: 7,282.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,255.96 : 12,773.12 = 5,277.06 : x
  2. Step 2: Convert to fraction form
    9,255.96/12,773.12 = 5,277.06/x
  3. Step 3: Cross multiply
    9,255.96x = 12,773.12 × 5,277.06
  4. Step 4: Simplify right side
    9,255.96x = 67,404,494.24
  5. Step 5: Solve for x
    x = 67,404,494.24/9,255.96
  6. Step 6: Final answer
    x = 7,282.28

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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.