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Finding the Fourth Proportional to 6,423.74, 9,634.91 and 4,357.02

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Solution

The fourth proportional to 6,423.74, 9,634.91 and 4,357.02 is: 6,535.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,423.74 : 9,634.91 = 4,357.02 : x
  2. Step 2: Convert to fraction form
    6,423.74/9,634.91 = 4,357.02/x
  3. Step 3: Cross multiply
    6,423.74x = 9,634.91 × 4,357.02
  4. Step 4: Simplify right side
    6,423.74x = 41,979,495.57
  5. Step 5: Solve for x
    x = 41,979,495.57/6,423.74
  6. Step 6: Final answer
    x = 6,535.06

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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.