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Finding the Fourth Proportional to 6,431, 9,646.49 and 4,223.77

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Solution

The fourth proportional to 6,431, 9,646.49 and 4,223.77 is: 6,335.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,431 : 9,646.49 = 4,223.77 : x
  2. Step 2: Convert to fraction form
    6,431/9,646.49 = 4,223.77/x
  3. Step 3: Cross multiply
    6,431x = 9,646.49 × 4,223.77
  4. Step 4: Simplify right side
    6,431x = 40,744,555.07
  5. Step 5: Solve for x
    x = 40,744,555.07/6,431
  6. Step 6: Final answer
    x = 6,335.65

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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.