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Finding the Fourth Proportional to 9,268.50, 12,790.53 and 5,076.75

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Solution

The fourth proportional to 9,268.50, 12,790.53 and 5,076.75 is: 7,005.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,268.50 : 12,790.53 = 5,076.75 : x
  2. Step 2: Convert to fraction form
    9,268.50/12,790.53 = 5,076.75/x
  3. Step 3: Cross multiply
    9,268.50x = 12,790.53 × 5,076.75
  4. Step 4: Simplify right side
    9,268.50x = 64,934,323.18
  5. Step 5: Solve for x
    x = 64,934,323.18/9,268.50
  6. Step 6: Final answer
    x = 7,005.92

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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.