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Finding the Fourth Proportional to 6,262.25, 9,386.46 and 5,522.61

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Solution

The fourth proportional to 6,262.25, 9,386.46 and 5,522.61 is: 8,277.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,262.25 : 9,386.46 = 5,522.61 : x
  2. Step 2: Convert to fraction form
    6,262.25/9,386.46 = 5,522.61/x
  3. Step 3: Cross multiply
    6,262.25x = 9,386.46 × 5,522.61
  4. Step 4: Simplify right side
    6,262.25x = 51,837,757.86
  5. Step 5: Solve for x
    x = 51,837,757.86/6,262.25
  6. Step 6: Final answer
    x = 8,277.82

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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.