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Finding the Fourth Proportional to 6,201.80, 9,303.90 and 3,123.80

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Solution

The fourth proportional to 6,201.80, 9,303.90 and 3,123.80 is: 4,686.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,201.80 : 9,303.90 = 3,123.80 : x
  2. Step 2: Convert to fraction form
    6,201.80/9,303.90 = 3,123.80/x
  3. Step 3: Cross multiply
    6,201.80x = 9,303.90 × 3,123.80
  4. Step 4: Simplify right side
    6,201.80x = 29,063,522.82
  5. Step 5: Solve for x
    x = 29,063,522.82/6,201.80
  6. Step 6: Final answer
    x = 4,686.30

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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.