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Finding the Fourth Proportional to 9,263.87, 12,784.44 and 5,072.12

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Solution

The fourth proportional to 9,263.87, 12,784.44 and 5,072.12 is: 6,999.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,263.87 : 12,784.44 = 5,072.12 : x
  2. Step 2: Convert to fraction form
    9,263.87/12,784.44 = 5,072.12/x
  3. Step 3: Cross multiply
    9,263.87x = 12,784.44 × 5,072.12
  4. Step 4: Simplify right side
    9,263.87x = 64,844,213.81
  5. Step 5: Solve for x
    x = 64,844,213.81/9,263.87
  6. Step 6: Final answer
    x = 6,999.69

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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.