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Finding the Fourth Proportional to 6,225.29, 9,337.94 and 2,277.07

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Solution

The fourth proportional to 6,225.29, 9,337.94 and 2,277.07 is: 3,415.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,225.29 : 9,337.94 = 2,277.07 : x
  2. Step 2: Convert to fraction form
    6,225.29/9,337.94 = 2,277.07/x
  3. Step 3: Cross multiply
    6,225.29x = 9,337.94 × 2,277.07
  4. Step 4: Simplify right side
    6,225.29x = 21,263,143.04
  5. Step 5: Solve for x
    x = 21,263,143.04/6,225.29
  6. Step 6: Final answer
    x = 3,415.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.