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Finding the Fourth Proportional to 6,423.99, 9,635.99 and 4,204.70

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Solution

The fourth proportional to 6,423.99, 9,635.99 and 4,204.70 is: 6,307.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,423.99 : 9,635.99 = 4,204.70 : x
  2. Step 2: Convert to fraction form
    6,423.99/9,635.99 = 4,204.70/x
  3. Step 3: Cross multiply
    6,423.99x = 9,635.99 × 4,204.70
  4. Step 4: Simplify right side
    6,423.99x = 40,516,447.15
  5. Step 5: Solve for x
    x = 40,516,447.15/6,423.99
  6. Step 6: Final answer
    x = 6,307.05

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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.