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Finding the Fourth Proportional to 6,123.35, 9,166.80 and 3,656.90

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Solution

The fourth proportional to 6,123.35, 9,166.80 and 3,656.90 is: 5,474.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,123.35 : 9,166.80 = 3,656.90 : x
  2. Step 2: Convert to fraction form
    6,123.35/9,166.80 = 3,656.90/x
  3. Step 3: Cross multiply
    6,123.35x = 9,166.80 × 3,656.90
  4. Step 4: Simplify right side
    6,123.35x = 33,522,070.92
  5. Step 5: Solve for x
    x = 33,522,070.92/6,123.35
  6. Step 6: Final answer
    x = 5,474.47

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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.