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Finding the Fourth Proportional to 6,123.70, 9,190.35 and 2,837.20

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Solution

The fourth proportional to 6,123.70, 9,190.35 and 2,837.20 is: 4,258.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,123.70 : 9,190.35 = 2,837.20 : x
  2. Step 2: Convert to fraction form
    6,123.70/9,190.35 = 2,837.20/x
  3. Step 3: Cross multiply
    6,123.70x = 9,190.35 × 2,837.20
  4. Step 4: Simplify right side
    6,123.70x = 26,074,861.02
  5. Step 5: Solve for x
    x = 26,074,861.02/6,123.70
  6. Step 6: Final answer
    x = 4,258.02

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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.