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Finding the Fourth Proportional to 9,211.80, 13,785.30 and 6,295.80

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Solution

The fourth proportional to 9,211.80, 13,785.30 and 6,295.80 is: 9,421.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,211.80 : 13,785.30 = 6,295.80 : x
  2. Step 2: Convert to fraction form
    9,211.80/13,785.30 = 6,295.80/x
  3. Step 3: Cross multiply
    9,211.80x = 13,785.30 × 6,295.80
  4. Step 4: Simplify right side
    9,211.80x = 86,789,491.74
  5. Step 5: Solve for x
    x = 86,789,491.74/9,211.80
  6. Step 6: Final answer
    x = 9,421.56

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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.