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Finding the Fourth Proportional to 9,254.81, 12,771.83 and 5,063.15

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Solution

The fourth proportional to 9,254.81, 12,771.83 and 5,063.15 is: 6,987.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,254.81 : 12,771.83 = 5,063.15 : x
  2. Step 2: Convert to fraction form
    9,254.81/12,771.83 = 5,063.15/x
  3. Step 3: Cross multiply
    9,254.81x = 12,771.83 × 5,063.15
  4. Step 4: Simplify right side
    9,254.81x = 64,665,704.01
  5. Step 5: Solve for x
    x = 64,665,704.01/9,254.81
  6. Step 6: Final answer
    x = 6,987.25

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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.