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Finding the Fourth Proportional to 6,266.70, 9,400.05 and 4,298.40

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Solution

The fourth proportional to 6,266.70, 9,400.05 and 4,298.40 is: 6,447.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,266.70 : 9,400.05 = 4,298.40 : x
  2. Step 2: Convert to fraction form
    6,266.70/9,400.05 = 4,298.40/x
  3. Step 3: Cross multiply
    6,266.70x = 9,400.05 × 4,298.40
  4. Step 4: Simplify right side
    6,266.70x = 40,405,174.92
  5. Step 5: Solve for x
    x = 40,405,174.92/6,266.70
  6. Step 6: Final answer
    x = 6,447.60

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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.