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Finding the Fourth Proportional to 9,758.28, 13,453.72 and 6,220.20

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Solution

The fourth proportional to 9,758.28, 13,453.72 and 6,220.20 is: 8,575.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,758.28 : 13,453.72 = 6,220.20 : x
  2. Step 2: Convert to fraction form
    9,758.28/13,453.72 = 6,220.20/x
  3. Step 3: Cross multiply
    9,758.28x = 13,453.72 × 6,220.20
  4. Step 4: Simplify right side
    9,758.28x = 83,684,813.59
  5. Step 5: Solve for x
    x = 83,684,813.59/9,758.28
  6. Step 6: Final answer
    x = 8,575.77

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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.