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Finding the Fourth Proportional to 9,277.10, 12,797.94 and 6,755.30

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Solution

The fourth proportional to 9,277.10, 12,797.94 and 6,755.30 is: 9,319.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,277.10 : 12,797.94 = 6,755.30 : x
  2. Step 2: Convert to fraction form
    9,277.10/12,797.94 = 6,755.30/x
  3. Step 3: Cross multiply
    9,277.10x = 12,797.94 × 6,755.30
  4. Step 4: Simplify right side
    9,277.10x = 86,453,924.08
  5. Step 5: Solve for x
    x = 86,453,924.08/9,277.10
  6. Step 6: Final answer
    x = 9,319.07

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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.